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Finding the Fourth Proportional to 315,778.64, 435,764.84 and 172,538.48

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Solution

The fourth proportional to 315,778.64, 435,764.84 and 172,538.48 is: 238,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,778.64 : 435,764.84 = 172,538.48 : x
  2. Step 2: Convert to fraction form
    315,778.64/435,764.84 = 172,538.48/x
  3. Step 3: Cross multiply
    315,778.64x = 435,764.84 × 172,538.48
  4. Step 4: Simplify right side
    315,778.64x = 75,186,203,357.76
  5. Step 5: Solve for x
    x = 75,186,203,357.76/315,778.64
  6. Step 6: Final answer
    x = 238,097.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.