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Finding the Fourth Proportional to 369,988.62, 510,585.89 and 200,222.75

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Solution

The fourth proportional to 369,988.62, 510,585.89 and 200,222.75 is: 276,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,988.62 : 510,585.89 = 200,222.75 : x
  2. Step 2: Convert to fraction form
    369,988.62/510,585.89 = 200,222.75/x
  3. Step 3: Cross multiply
    369,988.62x = 510,585.89 × 200,222.75
  4. Step 4: Simplify right side
    369,988.62x = 102,230,907,452.95
  5. Step 5: Solve for x
    x = 102,230,907,452.95/369,988.62
  6. Step 6: Final answer
    x = 276,308.25

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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.