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Finding the Fourth Proportional to 754,927, 1,132,565.46 and 256,291

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Solution

The fourth proportional to 754,927, 1,132,565.46 and 256,291 is: 384,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,927 : 1,132,565.46 = 256,291 : x
  2. Step 2: Convert to fraction form
    754,927/1,132,565.46 = 256,291/x
  3. Step 3: Cross multiply
    754,927x = 1,132,565.46 × 256,291
  4. Step 4: Simplify right side
    754,927x = 290,266,334,308.86
  5. Step 5: Solve for x
    x = 290,266,334,308.86/754,927
  6. Step 6: Final answer
    x = 384,495.90

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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.