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Finding the Fourth Proportional to 559,600.40, 839,728.65 and 204,650.30

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Solution

The fourth proportional to 559,600.40, 839,728.65 and 204,650.30 is: 307,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,600.40 : 839,728.65 = 204,650.30 : x
  2. Step 2: Convert to fraction form
    559,600.40/839,728.65 = 204,650.30/x
  3. Step 3: Cross multiply
    559,600.40x = 839,728.65 × 204,650.30
  4. Step 4: Simplify right side
    559,600.40x = 171,850,720,141.10
  5. Step 5: Solve for x
    x = 171,850,720,141.10/559,600.40
  6. Step 6: Final answer
    x = 307,095.42

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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.