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Finding the Fourth Proportional to 542,643.20, 813,734.40 and 262,246.40

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Solution

The fourth proportional to 542,643.20, 813,734.40 and 262,246.40 is: 393,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,643.20 : 813,734.40 = 262,246.40 : x
  2. Step 2: Convert to fraction form
    542,643.20/813,734.40 = 262,246.40/x
  3. Step 3: Cross multiply
    542,643.20x = 813,734.40 × 262,246.40
  4. Step 4: Simplify right side
    542,643.20x = 213,398,916,956.16
  5. Step 5: Solve for x
    x = 213,398,916,956.16/542,643.20
  6. Step 6: Final answer
    x = 393,258.25

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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.