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Finding the Fourth Proportional to 421,696.55, 581,947.80 and 230,713.13

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Solution

The fourth proportional to 421,696.55, 581,947.80 and 230,713.13 is: 318,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,696.55 : 581,947.80 = 230,713.13 : x
  2. Step 2: Convert to fraction form
    421,696.55/581,947.80 = 230,713.13/x
  3. Step 3: Cross multiply
    421,696.55x = 581,947.80 × 230,713.13
  4. Step 4: Simplify right side
    421,696.55x = 134,262,998,434.61
  5. Step 5: Solve for x
    x = 134,262,998,434.61/421,696.55
  6. Step 6: Final answer
    x = 318,387.71

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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.