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Finding the Fourth Proportional to 287,722.70, 402,286.90 and 287,722.70

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Solution

The fourth proportional to 287,722.70, 402,286.90 and 287,722.70 is: 402,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.70 : 402,286.90 = 287,722.70 : x
  2. Step 2: Convert to fraction form
    287,722.70/402,286.90 = 287,722.70/x
  3. Step 3: Cross multiply
    287,722.70x = 402,286.90 × 287,722.70
  4. Step 4: Simplify right side
    287,722.70x = 115,747,073,042.63
  5. Step 5: Solve for x
    x = 115,747,073,042.63/287,722.70
  6. Step 6: Final answer
    x = 402,286.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.