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Finding the Fourth Proportional to 458,243.40, 687,425.40 and 170,015.78

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Solution

The fourth proportional to 458,243.40, 687,425.40 and 170,015.78 is: 255,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,243.40 : 687,425.40 = 170,015.78 : x
  2. Step 2: Convert to fraction form
    458,243.40/687,425.40 = 170,015.78/x
  3. Step 3: Cross multiply
    458,243.40x = 687,425.40 × 170,015.78
  4. Step 4: Simplify right side
    458,243.40x = 116,873,165,572.81
  5. Step 5: Solve for x
    x = 116,873,165,572.81/458,243.40
  6. Step 6: Final answer
    x = 255,046.04

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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.