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Finding the Fourth Proportional to 543,158.20, 815,612.10 and 410,188.60

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Solution

The fourth proportional to 543,158.20, 815,612.10 and 410,188.60 is: 615,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,158.20 : 815,612.10 = 410,188.60 : x
  2. Step 2: Convert to fraction form
    543,158.20/815,612.10 = 410,188.60/x
  3. Step 3: Cross multiply
    543,158.20x = 815,612.10 × 410,188.60
  4. Step 4: Simplify right side
    543,158.20x = 334,554,785,442.06
  5. Step 5: Solve for x
    x = 334,554,785,442.06/543,158.20
  6. Step 6: Final answer
    x = 615,943.54

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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.