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Finding the Fourth Proportional to 564,915, 779,257.27 and 338,429.28

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Solution

The fourth proportional to 564,915, 779,257.27 and 338,429.28 is: 466,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,915 : 779,257.27 = 338,429.28 : x
  2. Step 2: Convert to fraction form
    564,915/779,257.27 = 338,429.28/x
  3. Step 3: Cross multiply
    564,915x = 779,257.27 × 338,429.28
  4. Step 4: Simplify right side
    564,915x = 263,723,476,820.87
  5. Step 5: Solve for x
    x = 263,723,476,820.87/564,915
  6. Step 6: Final answer
    x = 466,837.45

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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.