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Finding the Fourth Proportional to 315,772.54, 435,766.49 and 172,532.59

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Solution

The fourth proportional to 315,772.54, 435,766.49 and 172,532.59 is: 238,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,772.54 : 435,766.49 = 172,532.59 : x
  2. Step 2: Convert to fraction form
    315,772.54/435,766.49 = 172,532.59/x
  3. Step 3: Cross multiply
    315,772.54x = 435,766.49 × 172,532.59
  4. Step 4: Simplify right side
    315,772.54x = 75,183,918,976.08
  5. Step 5: Solve for x
    x = 75,183,918,976.08/315,772.54
  6. Step 6: Final answer
    x = 238,095.18

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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.