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Finding the Fourth Proportional to 695,818.56, 960,418.80 and 409,431

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Solution

The fourth proportional to 695,818.56, 960,418.80 and 409,431 is: 565,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,818.56 : 960,418.80 = 409,431 : x
  2. Step 2: Convert to fraction form
    695,818.56/960,418.80 = 409,431/x
  3. Step 3: Cross multiply
    695,818.56x = 960,418.80 × 409,431
  4. Step 4: Simplify right side
    695,818.56x = 393,225,229,702.80
  5. Step 5: Solve for x
    x = 393,225,229,702.80/695,818.56
  6. Step 6: Final answer
    x = 565,126.10

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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.