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Finding the Fourth Proportional to 442,844.52, 664,378.04 and 127,302

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Solution

The fourth proportional to 442,844.52, 664,378.04 and 127,302 is: 190,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,844.52 : 664,378.04 = 127,302 : x
  2. Step 2: Convert to fraction form
    442,844.52/664,378.04 = 127,302/x
  3. Step 3: Cross multiply
    442,844.52x = 664,378.04 × 127,302
  4. Step 4: Simplify right side
    442,844.52x = 84,576,653,248.08
  5. Step 5: Solve for x
    x = 84,576,653,248.08/442,844.52
  6. Step 6: Final answer
    x = 190,984.98

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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.