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Finding the Fourth Proportional to 420,566.62, 580,374.45 and 239,274.65

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Solution

The fourth proportional to 420,566.62, 580,374.45 and 239,274.65 is: 330,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,566.62 : 580,374.45 = 239,274.65 : x
  2. Step 2: Convert to fraction form
    420,566.62/580,374.45 = 239,274.65/x
  3. Step 3: Cross multiply
    420,566.62x = 580,374.45 × 239,274.65
  4. Step 4: Simplify right side
    420,566.62x = 138,868,893,392.69
  5. Step 5: Solve for x
    x = 138,868,893,392.69/420,566.62
  6. Step 6: Final answer
    x = 330,194.76

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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.