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Finding the Fourth Proportional to 315,143.88, 434,901.33 and 171,904.56

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Solution

The fourth proportional to 315,143.88, 434,901.33 and 171,904.56 is: 237,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,143.88 : 434,901.33 = 171,904.56 : x
  2. Step 2: Convert to fraction form
    315,143.88/434,901.33 = 171,904.56/x
  3. Step 3: Cross multiply
    315,143.88x = 434,901.33 × 171,904.56
  4. Step 4: Simplify right side
    315,143.88x = 74,761,521,777.06
  5. Step 5: Solve for x
    x = 74,761,521,777.06/315,143.88
  6. Step 6: Final answer
    x = 237,229.81

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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.