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Finding the Fourth Proportional to 369,988.87, 510,586.23 and 200,223

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Solution

The fourth proportional to 369,988.87, 510,586.23 and 200,223 is: 276,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,988.87 : 510,586.23 = 200,223 : x
  2. Step 2: Convert to fraction form
    369,988.87/510,586.23 = 200,223/x
  3. Step 3: Cross multiply
    369,988.87x = 510,586.23 × 200,223
  4. Step 4: Simplify right side
    369,988.87x = 102,231,106,729.29
  5. Step 5: Solve for x
    x = 102,231,106,729.29/369,988.87
  6. Step 6: Final answer
    x = 276,308.60

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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.