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Finding the Fourth Proportional to 458,514.54, 687,458.07 and 233,439.42

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Solution

The fourth proportional to 458,514.54, 687,458.07 and 233,439.42 is: 349,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,514.54 : 687,458.07 = 233,439.42 : x
  2. Step 2: Convert to fraction form
    458,514.54/687,458.07 = 233,439.42/x
  3. Step 3: Cross multiply
    458,514.54x = 687,458.07 × 233,439.42
  4. Step 4: Simplify right side
    458,514.54x = 160,479,813,135.12
  5. Step 5: Solve for x
    x = 160,479,813,135.12/458,514.54
  6. Step 6: Final answer
    x = 349,999.40

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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.