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Finding the Fourth Proportional to 257,153.28, 385,582.14 and 137,062.32

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Solution

The fourth proportional to 257,153.28, 385,582.14 and 137,062.32 is: 205,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,153.28 : 385,582.14 = 137,062.32 : x
  2. Step 2: Convert to fraction form
    257,153.28/385,582.14 = 137,062.32/x
  3. Step 3: Cross multiply
    257,153.28x = 385,582.14 × 137,062.32
  4. Step 4: Simplify right side
    257,153.28x = 52,848,782,658.96
  5. Step 5: Solve for x
    x = 52,848,782,658.96/257,153.28
  6. Step 6: Final answer
    x = 205,514.71

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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.