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Finding the Fourth Proportional to 521,016.52, 781,415.42 and 146,952.04

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Solution

The fourth proportional to 521,016.52, 781,415.42 and 146,952.04 is: 220,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,016.52 : 781,415.42 = 146,952.04 : x
  2. Step 2: Convert to fraction form
    521,016.52/781,415.42 = 146,952.04/x
  3. Step 3: Cross multiply
    521,016.52x = 781,415.42 × 146,952.04
  4. Step 4: Simplify right side
    521,016.52x = 114,830,586,673.30
  5. Step 5: Solve for x
    x = 114,830,586,673.30/521,016.52
  6. Step 6: Final answer
    x = 220,397.21

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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.