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Finding the Fourth Proportional to 390,451.46, 585,822.98 and 153,959

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Solution

The fourth proportional to 390,451.46, 585,822.98 and 153,959 is: 230,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,451.46 : 585,822.98 = 153,959 : x
  2. Step 2: Convert to fraction form
    390,451.46/585,822.98 = 153,959/x
  3. Step 3: Cross multiply
    390,451.46x = 585,822.98 × 153,959
  4. Step 4: Simplify right side
    390,451.46x = 90,192,720,177.82
  5. Step 5: Solve for x
    x = 90,192,720,177.82/390,451.46
  6. Step 6: Final answer
    x = 230,995.99

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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.