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Finding the Fourth Proportional to 564,915.12, 779,257.44 and 338,429.40

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Solution

The fourth proportional to 564,915.12, 779,257.44 and 338,429.40 is: 466,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,915.12 : 779,257.44 = 338,429.40 : x
  2. Step 2: Convert to fraction form
    564,915.12/779,257.44 = 338,429.40/x
  3. Step 3: Cross multiply
    564,915.12x = 779,257.44 × 338,429.40
  4. Step 4: Simplify right side
    564,915.12x = 263,723,627,864.74
  5. Step 5: Solve for x
    x = 263,723,627,864.74/564,915.12
  6. Step 6: Final answer
    x = 466,837.62

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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.