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Finding the Fourth Proportional to 315,872.55, 435,904.16 and 172,632.56

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Solution

The fourth proportional to 315,872.55, 435,904.16 and 172,632.56 is: 238,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,872.55 : 435,904.16 = 172,632.56 : x
  2. Step 2: Convert to fraction form
    315,872.55/435,904.16 = 172,632.56/x
  3. Step 3: Cross multiply
    315,872.55x = 435,904.16 × 172,632.56
  4. Step 4: Simplify right side
    315,872.55x = 75,251,248,012.77
  5. Step 5: Solve for x
    x = 75,251,248,012.77/315,872.55
  6. Step 6: Final answer
    x = 238,232.95

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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.