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Finding the Fourth Proportional to 502,836.86, 754,238.39 and 218,527.40

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Solution

The fourth proportional to 502,836.86, 754,238.39 and 218,527.40 is: 327,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,836.86 : 754,238.39 = 218,527.40 : x
  2. Step 2: Convert to fraction form
    502,836.86/754,238.39 = 218,527.40/x
  3. Step 3: Cross multiply
    502,836.86x = 754,238.39 × 218,527.40
  4. Step 4: Simplify right side
    502,836.86x = 164,821,755,139.85
  5. Step 5: Solve for x
    x = 164,821,755,139.85/502,836.86
  6. Step 6: Final answer
    x = 327,783.76

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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.