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Finding the Fourth Proportional to 502,433.09, 753,536.02 and 147,474.78

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Solution

The fourth proportional to 502,433.09, 753,536.02 and 147,474.78 is: 221,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,433.09 : 753,536.02 = 147,474.78 : x
  2. Step 2: Convert to fraction form
    502,433.09/753,536.02 = 147,474.78/x
  3. Step 3: Cross multiply
    502,433.09x = 753,536.02 × 147,474.78
  4. Step 4: Simplify right side
    502,433.09x = 111,127,558,034.20
  5. Step 5: Solve for x
    x = 111,127,558,034.20/502,433.09
  6. Step 6: Final answer
    x = 221,178.82

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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.