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Finding the Fourth Proportional to 420,422.94, 580,195.98 and 229,448.64

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Solution

The fourth proportional to 420,422.94, 580,195.98 and 229,448.64 is: 316,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,422.94 : 580,195.98 = 229,448.64 : x
  2. Step 2: Convert to fraction form
    420,422.94/580,195.98 = 229,448.64/x
  3. Step 3: Cross multiply
    420,422.94x = 580,195.98 × 229,448.64
  4. Step 4: Simplify right side
    420,422.94x = 133,125,178,544.47
  5. Step 5: Solve for x
    x = 133,125,178,544.47/420,422.94
  6. Step 6: Final answer
    x = 316,645.85

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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.