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Finding the Fourth Proportional to 402,903,657.80, 604,355,486.70 and 198,389,414.60

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Solution

The fourth proportional to 402,903,657.80, 604,355,486.70 and 198,389,414.60 is: 297,584,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,903,657.80 : 604,355,486.70 = 198,389,414.60 : x
  2. Step 2: Convert to fraction form
    402,903,657.80/604,355,486.70 = 198,389,414.60/x
  3. Step 3: Cross multiply
    402,903,657.80x = 604,355,486.70 × 198,389,414.60
  4. Step 4: Simplify right side
    402,903,657.80x = 119,897,731,216,711,088
  5. Step 5: Solve for x
    x = 119,897,731,216,711,088/402,903,657.80
  6. Step 6: Final answer
    x = 297,584,121.90

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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.