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Finding the Fourth Proportional to 516,013.80, 772,854.30 and 306,061.80

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Solution

The fourth proportional to 516,013.80, 772,854.30 and 306,061.80 is: 458,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,013.80 : 772,854.30 = 306,061.80 : x
  2. Step 2: Convert to fraction form
    516,013.80/772,854.30 = 306,061.80/x
  3. Step 3: Cross multiply
    516,013.80x = 772,854.30 × 306,061.80
  4. Step 4: Simplify right side
    516,013.80x = 236,541,178,195.74
  5. Step 5: Solve for x
    x = 236,541,178,195.74/516,013.80
  6. Step 6: Final answer
    x = 458,400.88

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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.