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Finding the Fourth Proportional to 257,223.68, 385,356 and 151,729.28

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Solution

The fourth proportional to 257,223.68, 385,356 and 151,729.28 is: 227,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223.68 : 385,356 = 151,729.28 : x
  2. Step 2: Convert to fraction form
    257,223.68/385,356 = 151,729.28/x
  3. Step 3: Cross multiply
    257,223.68x = 385,356 × 151,729.28
  4. Step 4: Simplify right side
    257,223.68x = 58,469,788,423.68
  5. Step 5: Solve for x
    x = 58,469,788,423.68/257,223.68
  6. Step 6: Final answer
    x = 227,311.06

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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.