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Finding the Fourth Proportional to 834,312.78, 1,151,375.92 and 471,728.85

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Solution

The fourth proportional to 834,312.78, 1,151,375.92 and 471,728.85 is: 650,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,312.78 : 1,151,375.92 = 471,728.85 : x
  2. Step 2: Convert to fraction form
    834,312.78/1,151,375.92 = 471,728.85/x
  3. Step 3: Cross multiply
    834,312.78x = 1,151,375.92 × 471,728.85
  4. Step 4: Simplify right side
    834,312.78x = 543,137,242,080.08
  5. Step 5: Solve for x
    x = 543,137,242,080.08/834,312.78
  6. Step 6: Final answer
    x = 650,999.55

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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.