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Finding the Fourth Proportional to 458,461.35, 687,659.54 and 121,494.53

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Solution

The fourth proportional to 458,461.35, 687,659.54 and 121,494.53 is: 182,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,461.35 : 687,659.54 = 121,494.53 : x
  2. Step 2: Convert to fraction form
    458,461.35/687,659.54 = 121,494.53/x
  3. Step 3: Cross multiply
    458,461.35x = 687,659.54 × 121,494.53
  4. Step 4: Simplify right side
    458,461.35x = 83,546,868,566.55
  5. Step 5: Solve for x
    x = 83,546,868,566.55/458,461.35
  6. Step 6: Final answer
    x = 182,233.18

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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.