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Finding the Fourth Proportional to 411,443.20, 616,243.20 and 402,227.20

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Solution

The fourth proportional to 411,443.20, 616,243.20 and 402,227.20 is: 602,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,443.20 : 616,243.20 = 402,227.20 : x
  2. Step 2: Convert to fraction form
    411,443.20/616,243.20 = 402,227.20/x
  3. Step 3: Cross multiply
    411,443.20x = 616,243.20 × 402,227.20
  4. Step 4: Simplify right side
    411,443.20x = 247,869,776,855.04
  5. Step 5: Solve for x
    x = 247,869,776,855.04/411,443.20
  6. Step 6: Final answer
    x = 602,439.84

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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.