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Finding the Fourth Proportional to 315,729.18, 435,704.67 and 172,497.42

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Solution

The fourth proportional to 315,729.18, 435,704.67 and 172,497.42 is: 238,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,729.18 : 435,704.67 = 172,497.42 : x
  2. Step 2: Convert to fraction form
    315,729.18/435,704.67 = 172,497.42/x
  3. Step 3: Cross multiply
    315,729.18x = 435,704.67 × 172,497.42
  4. Step 4: Simplify right side
    315,729.18x = 75,157,931,456.95
  5. Step 5: Solve for x
    x = 75,157,931,456.95/315,729.18
  6. Step 6: Final answer
    x = 238,045.57

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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.