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Finding the Fourth Proportional to 520,431.87, 780,825.11 and 280,569

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Solution

The fourth proportional to 520,431.87, 780,825.11 and 280,569 is: 420,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,431.87 : 780,825.11 = 280,569 : x
  2. Step 2: Convert to fraction form
    520,431.87/780,825.11 = 280,569/x
  3. Step 3: Cross multiply
    520,431.87x = 780,825.11 × 280,569
  4. Step 4: Simplify right side
    520,431.87x = 219,075,318,884.75
  5. Step 5: Solve for x
    x = 219,075,318,884.75/520,431.87
  6. Step 6: Final answer
    x = 420,949.08

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1.5x scale

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.