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Finding the Fourth Proportional to 420,990.66, 580,975.47 and 230,015.88

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Solution

The fourth proportional to 420,990.66, 580,975.47 and 230,015.88 is: 317,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,990.66 : 580,975.47 = 230,015.88 : x
  2. Step 2: Convert to fraction form
    420,990.66/580,975.47 = 230,015.88/x
  3. Step 3: Cross multiply
    420,990.66x = 580,975.47 × 230,015.88
  4. Step 4: Simplify right side
    420,990.66x = 133,633,583,990.46
  5. Step 5: Solve for x
    x = 133,633,583,990.46/420,990.66
  6. Step 6: Final answer
    x = 317,426.48

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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.