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Finding the Fourth Proportional to 458,270.96, 687,417.96 and 125,846

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Solution

The fourth proportional to 458,270.96, 687,417.96 and 125,846 is: 188,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,270.96 : 687,417.96 = 125,846 : x
  2. Step 2: Convert to fraction form
    458,270.96/687,417.96 = 125,846/x
  3. Step 3: Cross multiply
    458,270.96x = 687,417.96 × 125,846
  4. Step 4: Simplify right side
    458,270.96x = 86,508,800,594.16
  5. Step 5: Solve for x
    x = 86,508,800,594.16/458,270.96
  6. Step 6: Final answer
    x = 188,772.16

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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.