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Finding the Fourth Proportional to 521,148.56, 781,714.62 and 166,160.18

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Solution

The fourth proportional to 521,148.56, 781,714.62 and 166,160.18 is: 249,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,148.56 : 781,714.62 = 166,160.18 : x
  2. Step 2: Convert to fraction form
    521,148.56/781,714.62 = 166,160.18/x
  3. Step 3: Cross multiply
    521,148.56x = 781,714.62 × 166,160.18
  4. Step 4: Simplify right side
    521,148.56x = 129,889,843,922.12
  5. Step 5: Solve for x
    x = 129,889,843,922.12/521,148.56
  6. Step 6: Final answer
    x = 249,237.66

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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.