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Finding the Fourth Proportional to 466,487.91, 643,592.22 and 282,785.38

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Solution

The fourth proportional to 466,487.91, 643,592.22 and 282,785.38 is: 390,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,487.91 : 643,592.22 = 282,785.38 : x
  2. Step 2: Convert to fraction form
    466,487.91/643,592.22 = 282,785.38/x
  3. Step 3: Cross multiply
    466,487.91x = 643,592.22 × 282,785.38
  4. Step 4: Simplify right side
    466,487.91x = 181,998,467,828.32
  5. Step 5: Solve for x
    x = 181,998,467,828.32/466,487.91
  6. Step 6: Final answer
    x = 390,146.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.