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Finding the Fourth Proportional to 442,967.40, 664,427.88 and 127,411.92

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Solution

The fourth proportional to 442,967.40, 664,427.88 and 127,411.92 is: 191,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,967.40 : 664,427.88 = 127,411.92 : x
  2. Step 2: Convert to fraction form
    442,967.40/664,427.88 = 127,411.92/x
  3. Step 3: Cross multiply
    442,967.40x = 664,427.88 × 127,411.92
  4. Step 4: Simplify right side
    442,967.40x = 84,656,031,892.33
  5. Step 5: Solve for x
    x = 84,656,031,892.33/442,967.40
  6. Step 6: Final answer
    x = 191,111.20

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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.