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Finding the Fourth Proportional to 435,478.38, 653,049.63 and 169,203.84

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Solution

The fourth proportional to 435,478.38, 653,049.63 and 169,203.84 is: 253,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,478.38 : 653,049.63 = 169,203.84 : x
  2. Step 2: Convert to fraction form
    435,478.38/653,049.63 = 169,203.84/x
  3. Step 3: Cross multiply
    435,478.38x = 653,049.63 × 169,203.84
  4. Step 4: Simplify right side
    435,478.38x = 110,498,505,106.58
  5. Step 5: Solve for x
    x = 110,498,505,106.58/435,478.38
  6. Step 6: Final answer
    x = 253,740.51

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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.