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Finding the Fourth Proportional to 420,783.80, 580,659.80 and 239,495.15

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Solution

The fourth proportional to 420,783.80, 580,659.80 and 239,495.15 is: 330,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,783.80 : 580,659.80 = 239,495.15 : x
  2. Step 2: Convert to fraction form
    420,783.80/580,659.80 = 239,495.15/x
  3. Step 3: Cross multiply
    420,783.80x = 580,659.80 × 239,495.15
  4. Step 4: Simplify right side
    420,783.80x = 139,065,206,154.14
  5. Step 5: Solve for x
    x = 139,065,206,154.14/420,783.80
  6. Step 6: Final answer
    x = 330,490.88

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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.