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Finding the Fourth Proportional to 390,837.92, 586,349.28 and 311,177.12

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Solution

The fourth proportional to 390,837.92, 586,349.28 and 311,177.12 is: 466,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,837.92 : 586,349.28 = 311,177.12 : x
  2. Step 2: Convert to fraction form
    390,837.92/586,349.28 = 311,177.12/x
  3. Step 3: Cross multiply
    390,837.92x = 586,349.28 × 311,177.12
  4. Step 4: Simplify right side
    390,837.92x = 182,458,480,264.47
  5. Step 5: Solve for x
    x = 182,458,480,264.47/390,837.92
  6. Step 6: Final answer
    x = 466,839.25

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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.