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Finding the Fourth Proportional to 315,444.86, 435,321.36 and 172,205.97

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Solution

The fourth proportional to 315,444.86, 435,321.36 and 172,205.97 is: 237,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,444.86 : 435,321.36 = 172,205.97 : x
  2. Step 2: Convert to fraction form
    315,444.86/435,321.36 = 172,205.97/x
  3. Step 3: Cross multiply
    315,444.86x = 435,321.36 × 172,205.97
  4. Step 4: Simplify right side
    315,444.86x = 74,964,937,060.52
  5. Step 5: Solve for x
    x = 74,964,937,060.52/315,444.86
  6. Step 6: Final answer
    x = 237,648.31

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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.