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Finding the Fourth Proportional to 458,334.30, 687,610.80 and 233,729.40

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Solution

The fourth proportional to 458,334.30, 687,610.80 and 233,729.40 is: 350,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,334.30 : 687,610.80 = 233,729.40 : x
  2. Step 2: Convert to fraction form
    458,334.30/687,610.80 = 233,729.40/x
  3. Step 3: Cross multiply
    458,334.30x = 687,610.80 × 233,729.40
  4. Step 4: Simplify right side
    458,334.30x = 160,714,859,717.52
  5. Step 5: Solve for x
    x = 160,714,859,717.52/458,334.30
  6. Step 6: Final answer
    x = 350,649.86

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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.