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Finding the Fourth Proportional to 564,964.20, 779,655.24 and 310,321.08

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Solution

The fourth proportional to 564,964.20, 779,655.24 and 310,321.08 is: 428,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,964.20 : 779,655.24 = 310,321.08 : x
  2. Step 2: Convert to fraction form
    564,964.20/779,655.24 = 310,321.08/x
  3. Step 3: Cross multiply
    564,964.20x = 779,655.24 × 310,321.08
  4. Step 4: Simplify right side
    564,964.20x = 241,943,456,104.46
  5. Step 5: Solve for x
    x = 241,943,456,104.46/564,964.20
  6. Step 6: Final answer
    x = 428,245.64

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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.