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Finding the Fourth Proportional to 257,034.64, 385,644.20 and 114,868.01

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Solution

The fourth proportional to 257,034.64, 385,644.20 and 114,868.01 is: 172,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,034.64 : 385,644.20 = 114,868.01 : x
  2. Step 2: Convert to fraction form
    257,034.64/385,644.20 = 114,868.01/x
  3. Step 3: Cross multiply
    257,034.64x = 385,644.20 × 114,868.01
  4. Step 4: Simplify right side
    257,034.64x = 44,298,181,822.04
  5. Step 5: Solve for x
    x = 44,298,181,822.04/257,034.64
  6. Step 6: Final answer
    x = 172,343.24

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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.