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Finding the Fourth Proportional to 315,778.21, 435,768.80 and 172,535.18

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Solution

The fourth proportional to 315,778.21, 435,768.80 and 172,535.18 is: 238,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,778.21 : 435,768.80 = 172,535.18 : x
  2. Step 2: Convert to fraction form
    315,778.21/435,768.80 = 172,535.18/x
  3. Step 3: Cross multiply
    315,778.21x = 435,768.80 × 172,535.18
  4. Step 4: Simplify right side
    315,778.21x = 75,185,445,304.86
  5. Step 5: Solve for x
    x = 75,185,445,304.86/315,778.21
  6. Step 6: Final answer
    x = 238,095.74

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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.