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Finding the Fourth Proportional to 495,057.78, 742,694.52 and 281,926.50

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Solution

The fourth proportional to 495,057.78, 742,694.52 and 281,926.50 is: 422,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,057.78 : 742,694.52 = 281,926.50 : x
  2. Step 2: Convert to fraction form
    495,057.78/742,694.52 = 281,926.50/x
  3. Step 3: Cross multiply
    495,057.78x = 742,694.52 × 281,926.50
  4. Step 4: Simplify right side
    495,057.78x = 209,385,266,592.78
  5. Step 5: Solve for x
    x = 209,385,266,592.78/495,057.78
  6. Step 6: Final answer
    x = 422,951.17

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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.