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Finding the Fourth Proportional to 304,805.61, 457,503.66 and 147,144.78

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Solution

The fourth proportional to 304,805.61, 457,503.66 and 147,144.78 is: 220,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,805.61 : 457,503.66 = 147,144.78 : x
  2. Step 2: Convert to fraction form
    304,805.61/457,503.66 = 147,144.78/x
  3. Step 3: Cross multiply
    304,805.61x = 457,503.66 × 147,144.78
  4. Step 4: Simplify right side
    304,805.61x = 67,319,275,399.89
  5. Step 5: Solve for x
    x = 67,319,275,399.89/304,805.61
  6. Step 6: Final answer
    x = 220,859.70

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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.