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Finding the Fourth Proportional to 381,444.60, 572,426.10 and 212,964.60

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Solution

The fourth proportional to 381,444.60, 572,426.10 and 212,964.60 is: 319,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,444.60 : 572,426.10 = 212,964.60 : x
  2. Step 2: Convert to fraction form
    381,444.60/572,426.10 = 212,964.60/x
  3. Step 3: Cross multiply
    381,444.60x = 572,426.10 × 212,964.60
  4. Step 4: Simplify right side
    381,444.60x = 121,906,495,416.06
  5. Step 5: Solve for x
    x = 121,906,495,416.06/381,444.60
  6. Step 6: Final answer
    x = 319,591.61

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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.