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Finding the Fourth Proportional to 410,150.32, 615,221.64 and 129,667.60

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Solution

The fourth proportional to 410,150.32, 615,221.64 and 129,667.60 is: 194,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,150.32 : 615,221.64 = 129,667.60 : x
  2. Step 2: Convert to fraction form
    410,150.32/615,221.64 = 129,667.60/x
  3. Step 3: Cross multiply
    410,150.32x = 615,221.64 × 129,667.60
  4. Step 4: Simplify right side
    410,150.32x = 79,774,313,526.86
  5. Step 5: Solve for x
    x = 79,774,313,526.86/410,150.32
  6. Step 6: Final answer
    x = 194,500.19

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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.