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Finding the Fourth Proportional to 491,882.29, 678,487.08 and 338,654.45

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Solution

The fourth proportional to 491,882.29, 678,487.08 and 338,654.45 is: 467,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,882.29 : 678,487.08 = 338,654.45 : x
  2. Step 2: Convert to fraction form
    491,882.29/678,487.08 = 338,654.45/x
  3. Step 3: Cross multiply
    491,882.29x = 678,487.08 × 338,654.45
  4. Step 4: Simplify right side
    491,882.29x = 229,772,671,875.68
  5. Step 5: Solve for x
    x = 229,772,671,875.68/491,882.29
  6. Step 6: Final answer
    x = 467,129.39

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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.