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Finding the Fourth Proportional to 399,375.40, 550,826.50 and 256,146.36

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Solution

The fourth proportional to 399,375.40, 550,826.50 and 256,146.36 is: 353,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,375.40 : 550,826.50 = 256,146.36 : x
  2. Step 2: Convert to fraction form
    399,375.40/550,826.50 = 256,146.36/x
  3. Step 3: Cross multiply
    399,375.40x = 550,826.50 × 256,146.36
  4. Step 4: Simplify right side
    399,375.40x = 141,092,202,966.54
  5. Step 5: Solve for x
    x = 141,092,202,966.54/399,375.40
  6. Step 6: Final answer
    x = 353,282.16

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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.