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Finding the Fourth Proportional to 315,306.74, 435,132.60 and 172,076.06

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Solution

The fourth proportional to 315,306.74, 435,132.60 and 172,076.06 is: 237,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306.74 : 435,132.60 = 172,076.06 : x
  2. Step 2: Convert to fraction form
    315,306.74/435,132.60 = 172,076.06/x
  3. Step 3: Cross multiply
    315,306.74x = 435,132.60 × 172,076.06
  4. Step 4: Simplify right side
    315,306.74x = 74,875,903,385.56
  5. Step 5: Solve for x
    x = 74,875,903,385.56/315,306.74
  6. Step 6: Final answer
    x = 237,470.04

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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.