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Finding the Fourth Proportional to 315,689.73, 435,635.47 and 172,422.08

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Solution

The fourth proportional to 315,689.73, 435,635.47 and 172,422.08 is: 237,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,689.73 : 435,635.47 = 172,422.08 : x
  2. Step 2: Convert to fraction form
    315,689.73/435,635.47 = 172,422.08/x
  3. Step 3: Cross multiply
    315,689.73x = 435,635.47 × 172,422.08
  4. Step 4: Simplify right side
    315,689.73x = 75,113,173,859.18
  5. Step 5: Solve for x
    x = 75,113,173,859.18/315,689.73
  6. Step 6: Final answer
    x = 237,933.54

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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.