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Finding the Fourth Proportional to 521,638.47, 781,301.66 and 400,806.03

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Solution

The fourth proportional to 521,638.47, 781,301.66 and 400,806.03 is: 600,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,638.47 : 781,301.66 = 400,806.03 : x
  2. Step 2: Convert to fraction form
    521,638.47/781,301.66 = 400,806.03/x
  3. Step 3: Cross multiply
    521,638.47x = 781,301.66 × 400,806.03
  4. Step 4: Simplify right side
    521,638.47x = 313,150,416,577.01
  5. Step 5: Solve for x
    x = 313,150,416,577.01/521,638.47
  6. Step 6: Final answer
    x = 600,320.79

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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.