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Finding the Fourth Proportional to 497,791,998.80, 746,687,998.20 and 325,799,320.40

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Solution

The fourth proportional to 497,791,998.80, 746,687,998.20 and 325,799,320.40 is: 488,698,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,791,998.80 : 746,687,998.20 = 325,799,320.40 : x
  2. Step 2: Convert to fraction form
    497,791,998.80/746,687,998.20 = 325,799,320.40/x
  3. Step 3: Cross multiply
    497,791,998.80x = 746,687,998.20 × 325,799,320.40
  4. Step 4: Simplify right side
    497,791,998.80x = 243,270,442,364,396,416
  5. Step 5: Solve for x
    x = 243,270,442,364,396,416/497,791,998.80
  6. Step 6: Final answer
    x = 488,698,980.60

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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.