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Finding the Fourth Proportional to 521,508.60, 781,946.10 and 205,601.40

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Solution

The fourth proportional to 521,508.60, 781,946.10 and 205,601.40 is: 308,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,508.60 : 781,946.10 = 205,601.40 : x
  2. Step 2: Convert to fraction form
    521,508.60/781,946.10 = 205,601.40/x
  3. Step 3: Cross multiply
    521,508.60x = 781,946.10 × 205,601.40
  4. Step 4: Simplify right side
    521,508.60x = 160,769,212,884.54
  5. Step 5: Solve for x
    x = 160,769,212,884.54/521,508.60
  6. Step 6: Final answer
    x = 308,277.20

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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.