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Finding the Fourth Proportional to 559,410.12, 839,377.62 and 278,949.24

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Solution

The fourth proportional to 559,410.12, 839,377.62 and 278,949.24 is: 418,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,410.12 : 839,377.62 = 278,949.24 : x
  2. Step 2: Convert to fraction form
    559,410.12/839,377.62 = 278,949.24/x
  3. Step 3: Cross multiply
    559,410.12x = 839,377.62 × 278,949.24
  4. Step 4: Simplify right side
    559,410.12x = 234,143,749,172.01
  5. Step 5: Solve for x
    x = 234,143,749,172.01/559,410.12
  6. Step 6: Final answer
    x = 418,554.73

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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.