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Finding the Fourth Proportional to 340,223.58, 509,752.17 and 240,204.78

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Solution

The fourth proportional to 340,223.58, 509,752.17 and 240,204.78 is: 359,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,223.58 : 509,752.17 = 240,204.78 : x
  2. Step 2: Convert to fraction form
    340,223.58/509,752.17 = 240,204.78/x
  3. Step 3: Cross multiply
    340,223.58x = 509,752.17 × 240,204.78
  4. Step 4: Simplify right side
    340,223.58x = 122,444,907,849.37
  5. Step 5: Solve for x
    x = 122,444,907,849.37/340,223.58
  6. Step 6: Final answer
    x = 359,895.42

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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.