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Finding the Fourth Proportional to 649,541,375.60, 974,312,063.40 and 511,791,868.40

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Solution

The fourth proportional to 649,541,375.60, 974,312,063.40 and 511,791,868.40 is: 767,687,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,541,375.60 : 974,312,063.40 = 511,791,868.40 : x
  2. Step 2: Convert to fraction form
    649,541,375.60/974,312,063.40 = 511,791,868.40/x
  3. Step 3: Cross multiply
    649,541,375.60x = 974,312,063.40 × 511,791,868.40
  4. Step 4: Simplify right side
    649,541,375.60x = 498,644,991,332,145,216
  5. Step 5: Solve for x
    x = 498,644,991,332,145,216/649,541,375.60
  6. Step 6: Final answer
    x = 767,687,802.60

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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.