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Finding the Fourth Proportional to 442,842.52, 664,375.02 and 127,300

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Solution

The fourth proportional to 442,842.52, 664,375.02 and 127,300 is: 190,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,842.52 : 664,375.02 = 127,300 : x
  2. Step 2: Convert to fraction form
    442,842.52/664,375.02 = 127,300/x
  3. Step 3: Cross multiply
    442,842.52x = 664,375.02 × 127,300
  4. Step 4: Simplify right side
    442,842.52x = 84,574,940,046
  5. Step 5: Solve for x
    x = 84,574,940,046/442,842.52
  6. Step 6: Final answer
    x = 190,981.98

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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.