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Finding the Fourth Proportional to 729,691.60, 1,094,537.40 and 256,424.80

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Solution

The fourth proportional to 729,691.60, 1,094,537.40 and 256,424.80 is: 384,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,691.60 : 1,094,537.40 = 256,424.80 : x
  2. Step 2: Convert to fraction form
    729,691.60/1,094,537.40 = 256,424.80/x
  3. Step 3: Cross multiply
    729,691.60x = 1,094,537.40 × 256,424.80
  4. Step 4: Simplify right side
    729,691.60x = 280,666,533,887.52
  5. Step 5: Solve for x
    x = 280,666,533,887.52/729,691.60
  6. Step 6: Final answer
    x = 384,637.20

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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.