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Finding the Fourth Proportional to 310,200.30, 465,381.45 and 99,843.30

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Solution

The fourth proportional to 310,200.30, 465,381.45 and 99,843.30 is: 149,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200.30 : 465,381.45 = 99,843.30 : x
  2. Step 2: Convert to fraction form
    310,200.30/465,381.45 = 99,843.30/x
  3. Step 3: Cross multiply
    310,200.30x = 465,381.45 × 99,843.30
  4. Step 4: Simplify right side
    310,200.30x = 46,465,219,726.79
  5. Step 5: Solve for x
    x = 46,465,219,726.79/310,200.30
  6. Step 6: Final answer
    x = 149,791.02

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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.