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Finding the Fourth Proportional to 458,198.96, 687,073.59 and 188,278.20

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Solution

The fourth proportional to 458,198.96, 687,073.59 and 188,278.20 is: 282,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,198.96 : 687,073.59 = 188,278.20 : x
  2. Step 2: Convert to fraction form
    458,198.96/687,073.59 = 188,278.20/x
  3. Step 3: Cross multiply
    458,198.96x = 687,073.59 × 188,278.20
  4. Step 4: Simplify right side
    458,198.96x = 129,360,978,792.74
  5. Step 5: Solve for x
    x = 129,360,978,792.74/458,198.96
  6. Step 6: Final answer
    x = 282,324.91

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1.5x scale

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.