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Finding the Fourth Proportional to 438,984.76, 658,174.56 and 172,775.84

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Solution

The fourth proportional to 438,984.76, 658,174.56 and 172,775.84 is: 259,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,984.76 : 658,174.56 = 172,775.84 : x
  2. Step 2: Convert to fraction form
    438,984.76/658,174.56 = 172,775.84/x
  3. Step 3: Cross multiply
    438,984.76x = 658,174.56 × 172,775.84
  4. Step 4: Simplify right side
    438,984.76x = 113,716,662,470.63
  5. Step 5: Solve for x
    x = 113,716,662,470.63/438,984.76
  6. Step 6: Final answer
    x = 259,044.67

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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.