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Finding the Fourth Proportional to 408,770.50, 563,518.67 and 287,535.52

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Solution

The fourth proportional to 408,770.50, 563,518.67 and 287,535.52 is: 396,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,770.50 : 563,518.67 = 287,535.52 : x
  2. Step 2: Convert to fraction form
    408,770.50/563,518.67 = 287,535.52/x
  3. Step 3: Cross multiply
    408,770.50x = 563,518.67 × 287,535.52
  4. Step 4: Simplify right side
    408,770.50x = 162,031,634,692.27
  5. Step 5: Solve for x
    x = 162,031,634,692.27/408,770.50
  6. Step 6: Final answer
    x = 396,387.79

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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.