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Finding the Fourth Proportional to 278,155.55, 417,124.13 and 98,202.56

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Solution

The fourth proportional to 278,155.55, 417,124.13 and 98,202.56 is: 147,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,155.55 : 417,124.13 = 98,202.56 : x
  2. Step 2: Convert to fraction form
    278,155.55/417,124.13 = 98,202.56/x
  3. Step 3: Cross multiply
    278,155.55x = 417,124.13 × 98,202.56
  4. Step 4: Simplify right side
    278,155.55x = 40,962,654,827.14
  5. Step 5: Solve for x
    x = 40,962,654,827.14/278,155.55
  6. Step 6: Final answer
    x = 147,265.28

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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.