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Finding the Fourth Proportional to 458,620.20, 687,897.90 and 159,028.20

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Solution

The fourth proportional to 458,620.20, 687,897.90 and 159,028.20 is: 238,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,620.20 : 687,897.90 = 159,028.20 : x
  2. Step 2: Convert to fraction form
    458,620.20/687,897.90 = 159,028.20/x
  3. Step 3: Cross multiply
    458,620.20x = 687,897.90 × 159,028.20
  4. Step 4: Simplify right side
    458,620.20x = 109,395,164,820.78
  5. Step 5: Solve for x
    x = 109,395,164,820.78/458,620.20
  6. Step 6: Final answer
    x = 238,531.07

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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.