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Finding the Fourth Proportional to 392,257.50, 588,386.26 and 274,159.50

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Solution

The fourth proportional to 392,257.50, 588,386.26 and 274,159.50 is: 411,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257.50 : 588,386.26 = 274,159.50 : x
  2. Step 2: Convert to fraction form
    392,257.50/588,386.26 = 274,159.50/x
  3. Step 3: Cross multiply
    392,257.50x = 588,386.26 × 274,159.50
  4. Step 4: Simplify right side
    392,257.50x = 161,311,682,848.47
  5. Step 5: Solve for x
    x = 161,311,682,848.47/392,257.50
  6. Step 6: Final answer
    x = 411,239.26

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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.