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Finding the Fourth Proportional to 390,498.38, 585,523.40 and 153,711.89

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Solution

The fourth proportional to 390,498.38, 585,523.40 and 153,711.89 is: 230,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,498.38 : 585,523.40 = 153,711.89 : x
  2. Step 2: Convert to fraction form
    390,498.38/585,523.40 = 153,711.89/x
  3. Step 3: Cross multiply
    390,498.38x = 585,523.40 × 153,711.89
  4. Step 4: Simplify right side
    390,498.38x = 90,001,904,757.05
  5. Step 5: Solve for x
    x = 90,001,904,757.05/390,498.38
  6. Step 6: Final answer
    x = 230,479.59

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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.