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Finding the Fourth Proportional to 564,497.71, 779,000.24 and 306,375.11

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Solution

The fourth proportional to 564,497.71, 779,000.24 and 306,375.11 is: 422,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,497.71 : 779,000.24 = 306,375.11 : x
  2. Step 2: Convert to fraction form
    564,497.71/779,000.24 = 306,375.11/x
  3. Step 3: Cross multiply
    564,497.71x = 779,000.24 × 306,375.11
  4. Step 4: Simplify right side
    564,497.71x = 238,666,282,288.85
  5. Step 5: Solve for x
    x = 238,666,282,288.85/564,497.71
  6. Step 6: Final answer
    x = 422,794.07

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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.