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Finding the Fourth Proportional to 635,654.56, 876,952.48 and 409,431.36

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Solution

The fourth proportional to 635,654.56, 876,952.48 and 409,431.36 is: 564,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,654.56 : 876,952.48 = 409,431.36 : x
  2. Step 2: Convert to fraction form
    635,654.56/876,952.48 = 409,431.36/x
  3. Step 3: Cross multiply
    635,654.56x = 876,952.48 × 409,431.36
  4. Step 4: Simplify right side
    635,654.56x = 359,051,846,541.77
  5. Step 5: Solve for x
    x = 359,051,846,541.77/635,654.56
  6. Step 6: Final answer
    x = 564,853.73

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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.