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Finding the Fourth Proportional to 269,444.40, 403,475.40 and 257,002.80

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Solution

The fourth proportional to 269,444.40, 403,475.40 and 257,002.80 is: 384,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,444.40 : 403,475.40 = 257,002.80 : x
  2. Step 2: Convert to fraction form
    269,444.40/403,475.40 = 257,002.80/x
  3. Step 3: Cross multiply
    269,444.40x = 403,475.40 × 257,002.80
  4. Step 4: Simplify right side
    269,444.40x = 103,694,307,531.12
  5. Step 5: Solve for x
    x = 103,694,307,531.12/269,444.40
  6. Step 6: Final answer
    x = 384,844.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.