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Finding the Fourth Proportional to 664,000,981.80, 996,001,472.70 and 465,986,065.20

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Solution

The fourth proportional to 664,000,981.80, 996,001,472.70 and 465,986,065.20 is: 698,979,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,000,981.80 : 996,001,472.70 = 465,986,065.20 : x
  2. Step 2: Convert to fraction form
    664,000,981.80/996,001,472.70 = 465,986,065.20/x
  3. Step 3: Cross multiply
    664,000,981.80x = 996,001,472.70 × 465,986,065.20
  4. Step 4: Simplify right side
    664,000,981.80x = 464,122,807,196,878,208
  5. Step 5: Solve for x
    x = 464,122,807,196,878,208/664,000,981.80
  6. Step 6: Final answer
    x = 698,979,097.80

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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.