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Finding the Fourth Proportional to 257,515.80, 386,273.70 and 253,141.80

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Solution

The fourth proportional to 257,515.80, 386,273.70 and 253,141.80 is: 379,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,515.80 : 386,273.70 = 253,141.80 : x
  2. Step 2: Convert to fraction form
    257,515.80/386,273.70 = 253,141.80/x
  3. Step 3: Cross multiply
    257,515.80x = 386,273.70 × 253,141.80
  4. Step 4: Simplify right side
    257,515.80x = 97,782,019,710.66
  5. Step 5: Solve for x
    x = 97,782,019,710.66/257,515.80
  6. Step 6: Final answer
    x = 379,712.70

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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.