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Finding the Fourth Proportional to 278,112,352.80, 390,163,509.60 and 278,112,352.80

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Solution

The fourth proportional to 278,112,352.80, 390,163,509.60 and 278,112,352.80 is: 390,163,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,112,352.80 : 390,163,509.60 = 278,112,352.80 : x
  2. Step 2: Convert to fraction form
    278,112,352.80/390,163,509.60 = 278,112,352.80/x
  3. Step 3: Cross multiply
    278,112,352.80x = 390,163,509.60 × 278,112,352.80
  4. Step 4: Simplify right side
    278,112,352.80x = 108,509,291,631,561,392
  5. Step 5: Solve for x
    x = 108,509,291,631,561,392/278,112,352.80
  6. Step 6: Final answer
    x = 390,163,509.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.