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Finding the Fourth Proportional to 456,320.52, 685,101.78 and 256,781.88

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Solution

The fourth proportional to 456,320.52, 685,101.78 and 256,781.88 is: 385,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,320.52 : 685,101.78 = 256,781.88 : x
  2. Step 2: Convert to fraction form
    456,320.52/685,101.78 = 256,781.88/x
  3. Step 3: Cross multiply
    456,320.52x = 685,101.78 × 256,781.88
  4. Step 4: Simplify right side
    456,320.52x = 175,921,723,059.75
  5. Step 5: Solve for x
    x = 175,921,723,059.75/456,320.52
  6. Step 6: Final answer
    x = 385,522.27

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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.