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Finding the Fourth Proportional to 650,844.72, 898,058.80 and 408,956

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Solution

The fourth proportional to 650,844.72, 898,058.80 and 408,956 is: 564,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,844.72 : 898,058.80 = 408,956 : x
  2. Step 2: Convert to fraction form
    650,844.72/898,058.80 = 408,956/x
  3. Step 3: Cross multiply
    650,844.72x = 898,058.80 × 408,956
  4. Step 4: Simplify right side
    650,844.72x = 367,266,534,612.80
  5. Step 5: Solve for x
    x = 367,266,534,612.80/650,844.72
  6. Step 6: Final answer
    x = 564,292.10

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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.