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Finding the Fourth Proportional to 502,775.28, 753,981.48 and 147,694.32

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Solution

The fourth proportional to 502,775.28, 753,981.48 and 147,694.32 is: 221,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,775.28 : 753,981.48 = 147,694.32 : x
  2. Step 2: Convert to fraction form
    502,775.28/753,981.48 = 147,694.32/x
  3. Step 3: Cross multiply
    502,775.28x = 753,981.48 × 147,694.32
  4. Step 4: Simplify right side
    502,775.28x = 111,358,781,981.19
  5. Step 5: Solve for x
    x = 111,358,781,981.19/502,775.28
  6. Step 6: Final answer
    x = 221,488.18

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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.