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Finding the Fourth Proportional to 458,648.46, 687,892.71 and 121,723.17

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Solution

The fourth proportional to 458,648.46, 687,892.71 and 121,723.17 is: 182,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,648.46 : 687,892.71 = 121,723.17 : x
  2. Step 2: Convert to fraction form
    458,648.46/687,892.71 = 121,723.17/x
  3. Step 3: Cross multiply
    458,648.46x = 687,892.71 × 121,723.17
  4. Step 4: Simplify right side
    458,648.46x = 83,732,481,281.09
  5. Step 5: Solve for x
    x = 83,732,481,281.09/458,648.46
  6. Step 6: Final answer
    x = 182,563.53

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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.