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Finding the Fourth Proportional to 208,999.20, 313,304.40 and 145,819.20

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Solution

The fourth proportional to 208,999.20, 313,304.40 and 145,819.20 is: 218,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.20 : 313,304.40 = 145,819.20 : x
  2. Step 2: Convert to fraction form
    208,999.20/313,304.40 = 145,819.20/x
  3. Step 3: Cross multiply
    208,999.20x = 313,304.40 × 145,819.20
  4. Step 4: Simplify right side
    208,999.20x = 45,685,796,964.48
  5. Step 5: Solve for x
    x = 45,685,796,964.48/208,999.20
  6. Step 6: Final answer
    x = 218,593.17

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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.