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Finding the Fourth Proportional to 410,306.80, 615,114.60 and 213,314.80

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Solution

The fourth proportional to 410,306.80, 615,114.60 and 213,314.80 is: 319,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,306.80 : 615,114.60 = 213,314.80 : x
  2. Step 2: Convert to fraction form
    410,306.80/615,114.60 = 213,314.80/x
  3. Step 3: Cross multiply
    410,306.80x = 615,114.60 × 213,314.80
  4. Step 4: Simplify right side
    410,306.80x = 131,213,047,876.08
  5. Step 5: Solve for x
    x = 131,213,047,876.08/410,306.80
  6. Step 6: Final answer
    x = 319,792.53

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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.