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Finding the Fourth Proportional to 402,984,671.70, 604,477,007.55 and 147,649,862.10

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Solution

The fourth proportional to 402,984,671.70, 604,477,007.55 and 147,649,862.10 is: 221,474,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,984,671.70 : 604,477,007.55 = 147,649,862.10 : x
  2. Step 2: Convert to fraction form
    402,984,671.70/604,477,007.55 = 147,649,862.10/x
  3. Step 3: Cross multiply
    402,984,671.70x = 604,477,007.55 × 147,649,862.10
  4. Step 4: Simplify right side
    402,984,671.70x = 89,250,946,807,378,144
  5. Step 5: Solve for x
    x = 89,250,946,807,378,144/402,984,671.70
  6. Step 6: Final answer
    x = 221,474,793.15

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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.