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Finding the Fourth Proportional to 802,192.50, 1,203,290.80 and 203,153.72

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Solution

The fourth proportional to 802,192.50, 1,203,290.80 and 203,153.72 is: 304,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,192.50 : 1,203,290.80 = 203,153.72 : x
  2. Step 2: Convert to fraction form
    802,192.50/1,203,290.80 = 203,153.72/x
  3. Step 3: Cross multiply
    802,192.50x = 1,203,290.80 × 203,153.72
  4. Step 4: Simplify right side
    802,192.50x = 244,453,002,261.78
  5. Step 5: Solve for x
    x = 244,453,002,261.78/802,192.50
  6. Step 6: Final answer
    x = 304,731.10

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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.