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Finding the Fourth Proportional to 458,262, 687,168 and 188,341.20

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Solution

The fourth proportional to 458,262, 687,168 and 188,341.20 is: 282,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,262 : 687,168 = 188,341.20 : x
  2. Step 2: Convert to fraction form
    458,262/687,168 = 188,341.20/x
  3. Step 3: Cross multiply
    458,262x = 687,168 × 188,341.20
  4. Step 4: Simplify right side
    458,262x = 129,422,045,721.60
  5. Step 5: Solve for x
    x = 129,422,045,721.60/458,262
  6. Step 6: Final answer
    x = 282,419.33

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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.