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Finding the Fourth Proportional to 564,983.89, 779,691.27 and 310,340.41

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Solution

The fourth proportional to 564,983.89, 779,691.27 and 310,340.41 is: 428,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,983.89 : 779,691.27 = 310,340.41 : x
  2. Step 2: Convert to fraction form
    564,983.89/779,691.27 = 310,340.41/x
  3. Step 3: Cross multiply
    564,983.89x = 779,691.27 × 310,340.41
  4. Step 4: Simplify right side
    564,983.89x = 241,969,708,405.22
  5. Step 5: Solve for x
    x = 241,969,708,405.22/564,983.89
  6. Step 6: Final answer
    x = 428,277.18

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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.