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Finding the Fourth Proportional to 420,781.82, 580,681.05 and 229,795.22

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Solution

The fourth proportional to 420,781.82, 580,681.05 and 229,795.22 is: 317,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,781.82 : 580,681.05 = 229,795.22 : x
  2. Step 2: Convert to fraction form
    420,781.82/580,681.05 = 229,795.22/x
  3. Step 3: Cross multiply
    420,781.82x = 580,681.05 × 229,795.22
  4. Step 4: Simplify right side
    420,781.82x = 133,437,729,634.58
  5. Step 5: Solve for x
    x = 133,437,729,634.58/420,781.82
  6. Step 6: Final answer
    x = 317,118.57

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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.