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Finding the Fourth Proportional to 768,132.72, 1,060,024.32 and 428,601.78

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Solution

The fourth proportional to 768,132.72, 1,060,024.32 and 428,601.78 is: 591,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,132.72 : 1,060,024.32 = 428,601.78 : x
  2. Step 2: Convert to fraction form
    768,132.72/1,060,024.32 = 428,601.78/x
  3. Step 3: Cross multiply
    768,132.72x = 1,060,024.32 × 428,601.78
  4. Step 4: Simplify right side
    768,132.72x = 454,328,310,395.29
  5. Step 5: Solve for x
    x = 454,328,310,395.29/768,132.72
  6. Step 6: Final answer
    x = 591,471.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.