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Finding the Fourth Proportional to 521,573.64, 782,359.92 and 166,614.90

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Solution

The fourth proportional to 521,573.64, 782,359.92 and 166,614.90 is: 249,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,573.64 : 782,359.92 = 166,614.90 : x
  2. Step 2: Convert to fraction form
    521,573.64/782,359.92 = 166,614.90/x
  3. Step 3: Cross multiply
    521,573.64x = 782,359.92 × 166,614.90
  4. Step 4: Simplify right side
    521,573.64x = 130,352,819,834.81
  5. Step 5: Solve for x
    x = 130,352,819,834.81/521,573.64
  6. Step 6: Final answer
    x = 249,922.18

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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.