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Finding the Fourth Proportional to 278,897.56, 417,312.78 and 166,638.86

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Solution

The fourth proportional to 278,897.56, 417,312.78 and 166,638.86 is: 249,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,897.56 : 417,312.78 = 166,638.86 : x
  2. Step 2: Convert to fraction form
    278,897.56/417,312.78 = 166,638.86/x
  3. Step 3: Cross multiply
    278,897.56x = 417,312.78 × 166,638.86
  4. Step 4: Simplify right side
    278,897.56x = 69,540,525,922.63
  5. Step 5: Solve for x
    x = 69,540,525,922.63/278,897.56
  6. Step 6: Final answer
    x = 249,340.75

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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.