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Finding the Fourth Proportional to 315,391.52, 473,234.88 and 137,875.52

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Solution

The fourth proportional to 315,391.52, 473,234.88 and 137,875.52 is: 206,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,391.52 : 473,234.88 = 137,875.52 : x
  2. Step 2: Convert to fraction form
    315,391.52/473,234.88 = 137,875.52/x
  3. Step 3: Cross multiply
    315,391.52x = 473,234.88 × 137,875.52
  4. Step 4: Simplify right side
    315,391.52x = 65,247,505,162.14
  5. Step 5: Solve for x
    x = 65,247,505,162.14/315,391.52
  6. Step 6: Final answer
    x = 206,877.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.