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Finding the Fourth Proportional to 497,665,615.40, 746,498,423.10 and 439,214,978.60

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Solution

The fourth proportional to 497,665,615.40, 746,498,423.10 and 439,214,978.60 is: 658,822,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,615.40 : 746,498,423.10 = 439,214,978.60 : x
  2. Step 2: Convert to fraction form
    497,665,615.40/746,498,423.10 = 439,214,978.60/x
  3. Step 3: Cross multiply
    497,665,615.40x = 746,498,423.10 × 439,214,978.60
  4. Step 4: Simplify right side
    497,665,615.40x = 327,873,288,926,800,256
  5. Step 5: Solve for x
    x = 327,873,288,926,800,256/497,665,615.40
  6. Step 6: Final answer
    x = 658,822,467.90

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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.