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Finding the Fourth Proportional to 502,123.20, 753,184.80 and 128,146.20

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Solution

The fourth proportional to 502,123.20, 753,184.80 and 128,146.20 is: 192,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,123.20 : 753,184.80 = 128,146.20 : x
  2. Step 2: Convert to fraction form
    502,123.20/753,184.80 = 128,146.20/x
  3. Step 3: Cross multiply
    502,123.20x = 753,184.80 × 128,146.20
  4. Step 4: Simplify right side
    502,123.20x = 96,517,770,017.76
  5. Step 5: Solve for x
    x = 96,517,770,017.76/502,123.20
  6. Step 6: Final answer
    x = 192,219.30

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Similar ratio
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1.5x scale

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.