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Finding the Fourth Proportional to 315,846.24, 435,854.88 and 172,611.12

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Solution

The fourth proportional to 315,846.24, 435,854.88 and 172,611.12 is: 238,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,846.24 : 435,854.88 = 172,611.12 : x
  2. Step 2: Convert to fraction form
    315,846.24/435,854.88 = 172,611.12/x
  3. Step 3: Cross multiply
    315,846.24x = 435,854.88 × 172,611.12
  4. Step 4: Simplify right side
    315,846.24x = 75,233,398,994.27
  5. Step 5: Solve for x
    x = 75,233,398,994.27/315,846.24
  6. Step 6: Final answer
    x = 238,196.28

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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.