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Finding the Fourth Proportional to 340,458.24, 509,443.20 and 200,282.88

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Solution

The fourth proportional to 340,458.24, 509,443.20 and 200,282.88 is: 299,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,458.24 : 509,443.20 = 200,282.88 : x
  2. Step 2: Convert to fraction form
    340,458.24/509,443.20 = 200,282.88/x
  3. Step 3: Cross multiply
    340,458.24x = 509,443.20 × 200,282.88
  4. Step 4: Simplify right side
    340,458.24x = 102,032,751,292.42
  5. Step 5: Solve for x
    x = 102,032,751,292.42/340,458.24
  6. Step 6: Final answer
    x = 299,692.41

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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.