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Finding the Fourth Proportional to 521,478.60, 781,901.10 and 205,571.40

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Solution

The fourth proportional to 521,478.60, 781,901.10 and 205,571.40 is: 308,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,478.60 : 781,901.10 = 205,571.40 : x
  2. Step 2: Convert to fraction form
    521,478.60/781,901.10 = 205,571.40/x
  3. Step 3: Cross multiply
    521,478.60x = 781,901.10 × 205,571.40
  4. Step 4: Simplify right side
    521,478.60x = 160,736,503,788.54
  5. Step 5: Solve for x
    x = 160,736,503,788.54/521,478.60
  6. Step 6: Final answer
    x = 308,232.21

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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.