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Finding the Fourth Proportional to 257,534.72, 385,803.90 and 144,872.60

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Solution

The fourth proportional to 257,534.72, 385,803.90 and 144,872.60 is: 217,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,534.72 : 385,803.90 = 144,872.60 : x
  2. Step 2: Convert to fraction form
    257,534.72/385,803.90 = 144,872.60/x
  3. Step 3: Cross multiply
    257,534.72x = 385,803.90 × 144,872.60
  4. Step 4: Simplify right side
    257,534.72x = 55,892,414,083.14
  5. Step 5: Solve for x
    x = 55,892,414,083.14/257,534.72
  6. Step 6: Final answer
    x = 217,028.66

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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.