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Finding the Fourth Proportional to 486,001.40, 729,002.10 and 442,455.80

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Solution

The fourth proportional to 486,001.40, 729,002.10 and 442,455.80 is: 663,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,001.40 : 729,002.10 = 442,455.80 : x
  2. Step 2: Convert to fraction form
    486,001.40/729,002.10 = 442,455.80/x
  3. Step 3: Cross multiply
    486,001.40x = 729,002.10 × 442,455.80
  4. Step 4: Simplify right side
    486,001.40x = 322,551,207,357.18
  5. Step 5: Solve for x
    x = 322,551,207,357.18/486,001.40
  6. Step 6: Final answer
    x = 663,683.70

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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.