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Finding the Fourth Proportional to 420,657.71, 580,517.58 and 229,672.46

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Solution

The fourth proportional to 420,657.71, 580,517.58 and 229,672.46 is: 316,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,657.71 : 580,517.58 = 229,672.46 : x
  2. Step 2: Convert to fraction form
    420,657.71/580,517.58 = 229,672.46/x
  3. Step 3: Cross multiply
    420,657.71x = 580,517.58 × 229,672.46
  4. Step 4: Simplify right side
    420,657.71x = 133,328,902,984.41
  5. Step 5: Solve for x
    x = 133,328,902,984.41/420,657.71
  6. Step 6: Final answer
    x = 316,953.43

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1.5x scale

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.