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Finding the Fourth Proportional to 564,554.59, 779,086.15 and 306,431.74

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Solution

The fourth proportional to 564,554.59, 779,086.15 and 306,431.74 is: 422,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,554.59 : 779,086.15 = 306,431.74 : x
  2. Step 2: Convert to fraction form
    564,554.59/779,086.15 = 306,431.74/x
  3. Step 3: Cross multiply
    564,554.59x = 779,086.15 × 306,431.74
  4. Step 4: Simplify right side
    564,554.59x = 238,736,721,425.05
  5. Step 5: Solve for x
    x = 238,736,721,425.05/564,554.59
  6. Step 6: Final answer
    x = 422,876.24

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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.