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Finding the Fourth Proportional to 369,901.28, 510,463.76 and 200,135.41

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Solution

The fourth proportional to 369,901.28, 510,463.76 and 200,135.41 is: 276,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,901.28 : 510,463.76 = 200,135.41 : x
  2. Step 2: Convert to fraction form
    369,901.28/510,463.76 = 200,135.41/x
  3. Step 3: Cross multiply
    369,901.28x = 510,463.76 × 200,135.41
  4. Step 4: Simplify right side
    369,901.28x = 102,161,871,620.91
  5. Step 5: Solve for x
    x = 102,161,871,620.91/369,901.28
  6. Step 6: Final answer
    x = 276,186.85

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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.