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Finding the Fourth Proportional to 310,165.59, 428,191.11 and 208,724.43

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Solution

The fourth proportional to 310,165.59, 428,191.11 and 208,724.43 is: 288,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,165.59 : 428,191.11 = 208,724.43 : x
  2. Step 2: Convert to fraction form
    310,165.59/428,191.11 = 208,724.43/x
  3. Step 3: Cross multiply
    310,165.59x = 428,191.11 × 208,724.43
  4. Step 4: Simplify right side
    310,165.59x = 89,373,945,365.82
  5. Step 5: Solve for x
    x = 89,373,945,365.82/310,165.59
  6. Step 6: Final answer
    x = 288,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.