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Finding the Fourth Proportional to 402,984,901.70, 604,477,352.55 and 147,650,092.10

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Solution

The fourth proportional to 402,984,901.70, 604,477,352.55 and 147,650,092.10 is: 221,475,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,984,901.70 : 604,477,352.55 = 147,650,092.10 : x
  2. Step 2: Convert to fraction form
    402,984,901.70/604,477,352.55 = 147,650,092.10/x
  3. Step 3: Cross multiply
    402,984,901.70x = 604,477,352.55 × 147,650,092.10
  4. Step 4: Simplify right side
    402,984,901.70x = 89,251,136,776,371,664
  5. Step 5: Solve for x
    x = 89,251,136,776,371,664/402,984,901.70
  6. Step 6: Final answer
    x = 221,475,138.15

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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.