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Finding the Fourth Proportional to 420,299.66, 580,015.41 and 229,317.05

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Solution

The fourth proportional to 420,299.66, 580,015.41 and 229,317.05 is: 316,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,299.66 : 580,015.41 = 229,317.05 : x
  2. Step 2: Convert to fraction form
    420,299.66/580,015.41 = 229,317.05/x
  3. Step 3: Cross multiply
    420,299.66x = 580,015.41 × 229,317.05
  4. Step 4: Simplify right side
    420,299.66x = 133,007,422,775.74
  5. Step 5: Solve for x
    x = 133,007,422,775.74/420,299.66
  6. Step 6: Final answer
    x = 316,458.55

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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.