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Finding the Fourth Proportional to 327,461.40, 491,214.78 and 127,715.40

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Solution

The fourth proportional to 327,461.40, 491,214.78 and 127,715.40 is: 191,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,461.40 : 491,214.78 = 127,715.40 : x
  2. Step 2: Convert to fraction form
    327,461.40/491,214.78 = 127,715.40/x
  3. Step 3: Cross multiply
    327,461.40x = 491,214.78 × 127,715.40
  4. Step 4: Simplify right side
    327,461.40x = 62,735,692,113.61
  5. Step 5: Solve for x
    x = 62,735,692,113.61/327,461.40
  6. Step 6: Final answer
    x = 191,581.95

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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.