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Finding the Fourth Proportional to 420,608.14, 580,422.84 and 229,623.10

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Solution

The fourth proportional to 420,608.14, 580,422.84 and 229,623.10 is: 316,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,608.14 : 580,422.84 = 229,623.10 : x
  2. Step 2: Convert to fraction form
    420,608.14/580,422.84 = 229,623.10/x
  3. Step 3: Cross multiply
    420,608.14x = 580,422.84 × 229,623.10
  4. Step 4: Simplify right side
    420,608.14x = 133,278,491,831.60
  5. Step 5: Solve for x
    x = 133,278,491,831.60/420,608.14
  6. Step 6: Final answer
    x = 316,870.93

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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.