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Finding the Fourth Proportional to 369,968.88, 510,560.69 and 200,206.65

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Solution

The fourth proportional to 369,968.88, 510,560.69 and 200,206.65 is: 276,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,968.88 : 510,560.69 = 200,206.65 : x
  2. Step 2: Convert to fraction form
    369,968.88/510,560.69 = 200,206.65/x
  3. Step 3: Cross multiply
    369,968.88x = 510,560.69 × 200,206.65
  4. Step 4: Simplify right side
    369,968.88x = 102,217,643,314.30
  5. Step 5: Solve for x
    x = 102,217,643,314.30/369,968.88
  6. Step 6: Final answer
    x = 276,287.14

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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.