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Finding the Fourth Proportional to 542,102.40, 813,931.20 and 409,910.40

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Solution

The fourth proportional to 542,102.40, 813,931.20 and 409,910.40 is: 615,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,102.40 : 813,931.20 = 409,910.40 : x
  2. Step 2: Convert to fraction form
    542,102.40/813,931.20 = 409,910.40/x
  3. Step 3: Cross multiply
    542,102.40x = 813,931.20 × 409,910.40
  4. Step 4: Simplify right side
    542,102.40x = 333,638,863,764.48
  5. Step 5: Solve for x
    x = 333,638,863,764.48/542,102.40
  6. Step 6: Final answer
    x = 615,453.58

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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.