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Finding the Fourth Proportional to 542,385.88, 813,731.18 and 200,824.18

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Solution

The fourth proportional to 542,385.88, 813,731.18 and 200,824.18 is: 301,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,385.88 : 813,731.18 = 200,824.18 : x
  2. Step 2: Convert to fraction form
    542,385.88/813,731.18 = 200,824.18/x
  3. Step 3: Cross multiply
    542,385.88x = 813,731.18 × 200,824.18
  4. Step 4: Simplify right side
    542,385.88x = 163,416,893,925.48
  5. Step 5: Solve for x
    x = 163,416,893,925.48/542,385.88
  6. Step 6: Final answer
    x = 301,292.68

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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.