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Finding the Fourth Proportional to 314,306.24, 433,824.24 and 199,640

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Solution

The fourth proportional to 314,306.24, 433,824.24 and 199,640 is: 275,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,306.24 : 433,824.24 = 199,640 : x
  2. Step 2: Convert to fraction form
    314,306.24/433,824.24 = 199,640/x
  3. Step 3: Cross multiply
    314,306.24x = 433,824.24 × 199,640
  4. Step 4: Simplify right side
    314,306.24x = 86,608,671,273.60
  5. Step 5: Solve for x
    x = 86,608,671,273.60/314,306.24
  6. Step 6: Final answer
    x = 275,555.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.