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Finding the Fourth Proportional to 315,809.79, 435,812.25 and 172,566.54

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Solution

The fourth proportional to 315,809.79, 435,812.25 and 172,566.54 is: 238,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,809.79 : 435,812.25 = 172,566.54 : x
  2. Step 2: Convert to fraction form
    315,809.79/435,812.25 = 172,566.54/x
  3. Step 3: Cross multiply
    315,809.79x = 435,812.25 × 172,566.54
  4. Step 4: Simplify right side
    315,809.79x = 75,206,612,072.12
  5. Step 5: Solve for x
    x = 75,206,612,072.12/315,809.79
  6. Step 6: Final answer
    x = 238,138.95

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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.