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Finding the Fourth Proportional to 310,162.59, 428,186.93 and 208,721.43

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Solution

The fourth proportional to 310,162.59, 428,186.93 and 208,721.43 is: 288,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,162.59 : 428,186.93 = 208,721.43 : x
  2. Step 2: Convert to fraction form
    310,162.59/428,186.93 = 208,721.43/x
  3. Step 3: Cross multiply
    310,162.59x = 428,186.93 × 208,721.43
  4. Step 4: Simplify right side
    310,162.59x = 89,371,787,293.30
  5. Step 5: Solve for x
    x = 89,371,787,293.30/310,162.59
  6. Step 6: Final answer
    x = 288,144.96

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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.