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Finding the Fourth Proportional to 310,815.86, 466,659.97 and 159,121.28

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Solution

The fourth proportional to 310,815.86, 466,659.97 and 159,121.28 is: 238,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,815.86 : 466,659.97 = 159,121.28 : x
  2. Step 2: Convert to fraction form
    310,815.86/466,659.97 = 159,121.28/x
  3. Step 3: Cross multiply
    310,815.86x = 466,659.97 × 159,121.28
  4. Step 4: Simplify right side
    310,815.86x = 74,255,532,520.01
  5. Step 5: Solve for x
    x = 74,255,532,520.01/310,815.86
  6. Step 6: Final answer
    x = 238,905.23

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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.