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Finding the Fourth Proportional to 409,947.40, 615,074.70 and 160,808.20

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Solution

The fourth proportional to 409,947.40, 615,074.70 and 160,808.20 is: 241,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,947.40 : 615,074.70 = 160,808.20 : x
  2. Step 2: Convert to fraction form
    409,947.40/615,074.70 = 160,808.20/x
  3. Step 3: Cross multiply
    409,947.40x = 615,074.70 × 160,808.20
  4. Step 4: Simplify right side
    409,947.40x = 98,909,055,372.54
  5. Step 5: Solve for x
    x = 98,909,055,372.54/409,947.40
  6. Step 6: Final answer
    x = 241,272.55

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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.