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Finding the Fourth Proportional to 421,909.29, 582,212.48 and 230,885.78

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Solution

The fourth proportional to 421,909.29, 582,212.48 and 230,885.78 is: 318,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,909.29 : 582,212.48 = 230,885.78 : x
  2. Step 2: Convert to fraction form
    421,909.29/582,212.48 = 230,885.78/x
  3. Step 3: Cross multiply
    421,909.29x = 582,212.48 × 230,885.78
  4. Step 4: Simplify right side
    421,909.29x = 134,424,578,505.04
  5. Step 5: Solve for x
    x = 134,424,578,505.04/421,909.29
  6. Step 6: Final answer
    x = 318,610.14

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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.