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Finding the Fourth Proportional to 409,961.40, 615,095.70 and 160,822.20

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Solution

The fourth proportional to 409,961.40, 615,095.70 and 160,822.20 is: 241,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,961.40 : 615,095.70 = 160,822.20 : x
  2. Step 2: Convert to fraction form
    409,961.40/615,095.70 = 160,822.20/x
  3. Step 3: Cross multiply
    409,961.40x = 615,095.70 × 160,822.20
  4. Step 4: Simplify right side
    409,961.40x = 98,921,043,684.54
  5. Step 5: Solve for x
    x = 98,921,043,684.54/409,961.40
  6. Step 6: Final answer
    x = 241,293.56

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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.