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Finding the Fourth Proportional to 564,915.62, 779,258.12 and 338,429.90

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Solution

The fourth proportional to 564,915.62, 779,258.12 and 338,429.90 is: 466,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,915.62 : 779,258.12 = 338,429.90 : x
  2. Step 2: Convert to fraction form
    564,915.62/779,258.12 = 338,429.90/x
  3. Step 3: Cross multiply
    564,915.62x = 779,258.12 × 338,429.90
  4. Step 4: Simplify right side
    564,915.62x = 263,724,247,625.79
  5. Step 5: Solve for x
    x = 263,724,247,625.79/564,915.62
  6. Step 6: Final answer
    x = 466,838.30

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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.