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Finding the Fourth Proportional to 521,638.97, 781,302.40 and 400,806.52

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Solution

The fourth proportional to 521,638.97, 781,302.40 and 400,806.52 is: 600,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,638.97 : 781,302.40 = 400,806.52 : x
  2. Step 2: Convert to fraction form
    521,638.97/781,302.40 = 400,806.52/x
  3. Step 3: Cross multiply
    521,638.97x = 781,302.40 × 400,806.52
  4. Step 4: Simplify right side
    521,638.97x = 313,151,093,056.38
  5. Step 5: Solve for x
    x = 313,151,093,056.38/521,638.97
  6. Step 6: Final answer
    x = 600,321.51

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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.