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Finding the Fourth Proportional to 278,360,261,567.90, 417,540,392,351.85 and 278,360,261,567.90

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Solution

The fourth proportional to 278,360,261,567.90, 417,540,392,351.85 and 278,360,261,567.90 is: 417,540,392,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,360,261,567.90 : 417,540,392,351.85 = 278,360,261,567.90 : x
  2. Step 2: Convert to fraction form
    278,360,261,567.90/417,540,392,351.85 = 278,360,261,567.90/x
  3. Step 3: Cross multiply
    278,360,261,567.90x = 417,540,392,351.85 × 278,360,261,567.90
  4. Step 4: Simplify right side
    278,360,261,567.90x = 116,226,652,830,224,554,655,744
  5. Step 5: Solve for x
    x = 116,226,652,830,224,554,655,744/278,360,261,567.90
  6. Step 6: Final answer
    x = 417,540,392,351.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.