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Finding the Fourth Proportional to 502,159.36, 753,238.80 and 128,182.24

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Solution

The fourth proportional to 502,159.36, 753,238.80 and 128,182.24 is: 192,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,159.36 : 753,238.80 = 128,182.24 : x
  2. Step 2: Convert to fraction form
    502,159.36/753,238.80 = 128,182.24/x
  3. Step 3: Cross multiply
    502,159.36x = 753,238.80 × 128,182.24
  4. Step 4: Simplify right side
    502,159.36x = 96,551,836,638.91
  5. Step 5: Solve for x
    x = 96,551,836,638.91/502,159.36
  6. Step 6: Final answer
    x = 192,273.30

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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.