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Finding the Fourth Proportional to 340,082.40, 509,686.20 and 206,821.20

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Solution

The fourth proportional to 340,082.40, 509,686.20 and 206,821.20 is: 309,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,082.40 : 509,686.20 = 206,821.20 : x
  2. Step 2: Convert to fraction form
    340,082.40/509,686.20 = 206,821.20/x
  3. Step 3: Cross multiply
    340,082.40x = 509,686.20 × 206,821.20
  4. Step 4: Simplify right side
    340,082.40x = 105,413,911,507.44
  5. Step 5: Solve for x
    x = 105,413,911,507.44/340,082.40
  6. Step 6: Final answer
    x = 309,965.80

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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.