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Finding the Fourth Proportional to 369,913.65, 510,480.78 and 200,147.79

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Solution

The fourth proportional to 369,913.65, 510,480.78 and 200,147.79 is: 276,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,913.65 : 510,480.78 = 200,147.79 : x
  2. Step 2: Convert to fraction form
    369,913.65/510,480.78 = 200,147.79/x
  3. Step 3: Cross multiply
    369,913.65x = 510,480.78 × 200,147.79
  4. Step 4: Simplify right side
    369,913.65x = 102,171,599,954.48
  5. Step 5: Solve for x
    x = 102,171,599,954.48/369,913.65
  6. Step 6: Final answer
    x = 276,203.92

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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.