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Finding the Fourth Proportional to 369,469.75, 509,867.95 and 199,703.88

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Solution

The fourth proportional to 369,469.75, 509,867.95 and 199,703.88 is: 275,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,469.75 : 509,867.95 = 199,703.88 : x
  2. Step 2: Convert to fraction form
    369,469.75/509,867.95 = 199,703.88/x
  3. Step 3: Cross multiply
    369,469.75x = 509,867.95 × 199,703.88
  4. Step 4: Simplify right side
    369,469.75x = 101,822,604,354.79
  5. Step 5: Solve for x
    x = 101,822,604,354.79/369,469.75
  6. Step 6: Final answer
    x = 275,591.18

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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.