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Finding the Fourth Proportional to 476,034.14, 656,754.71 and 312,778.59

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Solution

The fourth proportional to 476,034.14, 656,754.71 and 312,778.59 is: 431,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,034.14 : 656,754.71 = 312,778.59 : x
  2. Step 2: Convert to fraction form
    476,034.14/656,754.71 = 312,778.59/x
  3. Step 3: Cross multiply
    476,034.14x = 656,754.71 × 312,778.59
  4. Step 4: Simplify right side
    476,034.14x = 205,418,812,169.66
  5. Step 5: Solve for x
    x = 205,418,812,169.66/476,034.14
  6. Step 6: Final answer
    x = 431,521.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.