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Finding the Fourth Proportional to 550,214, 759,306.84 and 311,750

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Solution

The fourth proportional to 550,214, 759,306.84 and 311,750 is: 430,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,214 : 759,306.84 = 311,750 : x
  2. Step 2: Convert to fraction form
    550,214/759,306.84 = 311,750/x
  3. Step 3: Cross multiply
    550,214x = 759,306.84 × 311,750
  4. Step 4: Simplify right side
    550,214x = 236,713,907,370
  5. Step 5: Solve for x
    x = 236,713,907,370/550,214
  6. Step 6: Final answer
    x = 430,221.53

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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.