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Finding the Fourth Proportional to 287,279.75, 430,903.41 and 127,309.61

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Solution

The fourth proportional to 287,279.75, 430,903.41 and 127,309.61 is: 190,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,279.75 : 430,903.41 = 127,309.61 : x
  2. Step 2: Convert to fraction form
    287,279.75/430,903.41 = 127,309.61/x
  3. Step 3: Cross multiply
    287,279.75x = 430,903.41 × 127,309.61
  4. Step 4: Simplify right side
    287,279.75x = 54,858,142,920.25
  5. Step 5: Solve for x
    x = 54,858,142,920.25/287,279.75
  6. Step 6: Final answer
    x = 190,957.23

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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.