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Finding the Fourth Proportional to 409,412.64, 564,972.48 and 228,115.20

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Solution

The fourth proportional to 409,412.64, 564,972.48 and 228,115.20 is: 314,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,412.64 : 564,972.48 = 228,115.20 : x
  2. Step 2: Convert to fraction form
    409,412.64/564,972.48 = 228,115.20/x
  3. Step 3: Cross multiply
    409,412.64x = 564,972.48 × 228,115.20
  4. Step 4: Simplify right side
    409,412.64x = 128,878,810,269.70
  5. Step 5: Solve for x
    x = 128,878,810,269.70/409,412.64
  6. Step 6: Final answer
    x = 314,789.52

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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.