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Finding the Fourth Proportional to 502,131.84, 753,188.08 and 147,138

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Solution

The fourth proportional to 502,131.84, 753,188.08 and 147,138 is: 220,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,131.84 : 753,188.08 = 147,138 : x
  2. Step 2: Convert to fraction form
    502,131.84/753,188.08 = 147,138/x
  3. Step 3: Cross multiply
    502,131.84x = 753,188.08 × 147,138
  4. Step 4: Simplify right side
    502,131.84x = 110,822,587,715.04
  5. Step 5: Solve for x
    x = 110,822,587,715.04/502,131.84
  6. Step 6: Final answer
    x = 220,704.16

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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.