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Finding the Fourth Proportional to 410,135.40, 615,203.10 and 252,452.70

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Solution

The fourth proportional to 410,135.40, 615,203.10 and 252,452.70 is: 378,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135.40 : 615,203.10 = 252,452.70 : x
  2. Step 2: Convert to fraction form
    410,135.40/615,203.10 = 252,452.70/x
  3. Step 3: Cross multiply
    410,135.40x = 615,203.10 × 252,452.70
  4. Step 4: Simplify right side
    410,135.40x = 155,309,683,643.37
  5. Step 5: Solve for x
    x = 155,309,683,643.37/410,135.40
  6. Step 6: Final answer
    x = 378,679.05

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1.5x scale

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.