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Finding the Fourth Proportional to 340,205.58, 509,725.17 and 240,186.78

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Solution

The fourth proportional to 340,205.58, 509,725.17 and 240,186.78 is: 359,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,205.58 : 509,725.17 = 240,186.78 : x
  2. Step 2: Convert to fraction form
    340,205.58/509,725.17 = 240,186.78/x
  3. Step 3: Cross multiply
    340,205.58x = 509,725.17 × 240,186.78
  4. Step 4: Simplify right side
    340,205.58x = 122,429,247,267.25
  5. Step 5: Solve for x
    x = 122,429,247,267.25/340,205.58
  6. Step 6: Final answer
    x = 359,868.43

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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.