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Finding the Fourth Proportional to 310,965.72, 429,191.37 and 194,733.15

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Solution

The fourth proportional to 310,965.72, 429,191.37 and 194,733.15 is: 268,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,965.72 : 429,191.37 = 194,733.15 : x
  2. Step 2: Convert to fraction form
    310,965.72/429,191.37 = 194,733.15/x
  3. Step 3: Cross multiply
    310,965.72x = 429,191.37 × 194,733.15
  4. Step 4: Simplify right side
    310,965.72x = 83,577,787,432.92
  5. Step 5: Solve for x
    x = 83,577,787,432.92/310,965.72
  6. Step 6: Final answer
    x = 268,768.49

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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.