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Finding the Fourth Proportional to 520,648.62, 780,692.19 and 280,891.02

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Solution

The fourth proportional to 520,648.62, 780,692.19 and 280,891.02 is: 421,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,648.62 : 780,692.19 = 280,891.02 : x
  2. Step 2: Convert to fraction form
    520,648.62/780,692.19 = 280,891.02/x
  3. Step 3: Cross multiply
    520,648.62x = 780,692.19 × 280,891.02
  4. Step 4: Simplify right side
    520,648.62x = 219,289,425,555.13
  5. Step 5: Solve for x
    x = 219,289,425,555.13/520,648.62
  6. Step 6: Final answer
    x = 421,185.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.