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Finding the Fourth Proportional to 261,615.60, 391,645.80 and 172,969.20

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Solution

The fourth proportional to 261,615.60, 391,645.80 and 172,969.20 is: 258,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,615.60 : 391,645.80 = 172,969.20 : x
  2. Step 2: Convert to fraction form
    261,615.60/391,645.80 = 172,969.20/x
  3. Step 3: Cross multiply
    261,615.60x = 391,645.80 × 172,969.20
  4. Step 4: Simplify right side
    261,615.60x = 67,742,660,709.36
  5. Step 5: Solve for x
    x = 67,742,660,709.36/261,615.60
  6. Step 6: Final answer
    x = 258,939.68

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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.