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Finding the Fourth Proportional to 413,178.84, 619,186.28 and 328,563.54

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Solution

The fourth proportional to 413,178.84, 619,186.28 and 328,563.54 is: 492,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,178.84 : 619,186.28 = 328,563.54 : x
  2. Step 2: Convert to fraction form
    413,178.84/619,186.28 = 328,563.54/x
  3. Step 3: Cross multiply
    413,178.84x = 619,186.28 × 328,563.54
  4. Step 4: Simplify right side
    413,178.84x = 203,442,034,433.41
  5. Step 5: Solve for x
    x = 203,442,034,433.41/413,178.84
  6. Step 6: Final answer
    x = 492,382.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.