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Finding the Fourth Proportional to 521,473.56, 782,223.84 and 166,487.28

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Solution

The fourth proportional to 521,473.56, 782,223.84 and 166,487.28 is: 249,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,473.56 : 782,223.84 = 166,487.28 : x
  2. Step 2: Convert to fraction form
    521,473.56/782,223.84 = 166,487.28/x
  3. Step 3: Cross multiply
    521,473.56x = 782,223.84 × 166,487.28
  4. Step 4: Simplify right side
    521,473.56x = 130,230,319,472.76
  5. Step 5: Solve for x
    x = 130,230,319,472.76/521,473.56
  6. Step 6: Final answer
    x = 249,735.23

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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.