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Finding the Fourth Proportional to 542,114.40, 813,949.20 and 409,922.40

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Solution

The fourth proportional to 542,114.40, 813,949.20 and 409,922.40 is: 615,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,114.40 : 813,949.20 = 409,922.40 : x
  2. Step 2: Convert to fraction form
    542,114.40/813,949.20 = 409,922.40/x
  3. Step 3: Cross multiply
    542,114.40x = 813,949.20 × 409,922.40
  4. Step 4: Simplify right side
    542,114.40x = 333,656,009,542.08
  5. Step 5: Solve for x
    x = 333,656,009,542.08/542,114.40
  6. Step 6: Final answer
    x = 615,471.59

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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.