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Finding the Fourth Proportional to 390,512.89, 585,545.13 and 153,726.40

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Solution

The fourth proportional to 390,512.89, 585,545.13 and 153,726.40 is: 230,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,512.89 : 585,545.13 = 153,726.40 : x
  2. Step 2: Convert to fraction form
    390,512.89/585,545.13 = 153,726.40/x
  3. Step 3: Cross multiply
    390,512.89x = 585,545.13 × 153,726.40
  4. Step 4: Simplify right side
    390,512.89x = 90,013,744,872.43
  5. Step 5: Solve for x
    x = 90,013,744,872.43/390,512.89
  6. Step 6: Final answer
    x = 230,501.34

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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.