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Finding the Fourth Proportional to 439,262.64, 658,441.44 and 172,915.20

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Solution

The fourth proportional to 439,262.64, 658,441.44 and 172,915.20 is: 259,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,262.64 : 658,441.44 = 172,915.20 : x
  2. Step 2: Convert to fraction form
    439,262.64/658,441.44 = 172,915.20/x
  3. Step 3: Cross multiply
    439,262.64x = 658,441.44 × 172,915.20
  4. Step 4: Simplify right side
    439,262.64x = 113,854,533,285.89
  5. Step 5: Solve for x
    x = 113,854,533,285.89/439,262.64
  6. Step 6: Final answer
    x = 259,194.67

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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.