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Finding the Fourth Proportional to 256,515.90, 384,438.30 and 137,931.90

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Solution

The fourth proportional to 256,515.90, 384,438.30 and 137,931.90 is: 206,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,515.90 : 384,438.30 = 137,931.90 : x
  2. Step 2: Convert to fraction form
    256,515.90/384,438.30 = 137,931.90/x
  3. Step 3: Cross multiply
    256,515.90x = 384,438.30 × 137,931.90
  4. Step 4: Simplify right side
    256,515.90x = 53,026,305,151.77
  5. Step 5: Solve for x
    x = 53,026,305,151.77/256,515.90
  6. Step 6: Final answer
    x = 206,717.42

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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.