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Finding the Fourth Proportional to 261,288.72, 392,020.56 and 103,562.28

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Solution

The fourth proportional to 261,288.72, 392,020.56 and 103,562.28 is: 155,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,288.72 : 392,020.56 = 103,562.28 : x
  2. Step 2: Convert to fraction form
    261,288.72/392,020.56 = 103,562.28/x
  3. Step 3: Cross multiply
    261,288.72x = 392,020.56 × 103,562.28
  4. Step 4: Simplify right side
    261,288.72x = 40,598,543,000.48
  5. Step 5: Solve for x
    x = 40,598,543,000.48/261,288.72
  6. Step 6: Final answer
    x = 155,378.09

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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.