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Finding the Fourth Proportional to 450,045.25, 620,769.76 and 288,644.65

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Solution

The fourth proportional to 450,045.25, 620,769.76 and 288,644.65 is: 398,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,045.25 : 620,769.76 = 288,644.65 : x
  2. Step 2: Convert to fraction form
    450,045.25/620,769.76 = 288,644.65/x
  3. Step 3: Cross multiply
    450,045.25x = 620,769.76 × 288,644.65
  4. Step 4: Simplify right side
    450,045.25x = 179,181,867,832.25
  5. Step 5: Solve for x
    x = 179,181,867,832.25/450,045.25
  6. Step 6: Final answer
    x = 398,141.90

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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.