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Finding the Fourth Proportional to 349,381.77, 482,143.94 and 196,420.65

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Solution

The fourth proportional to 349,381.77, 482,143.94 and 196,420.65 is: 271,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,381.77 : 482,143.94 = 196,420.65 : x
  2. Step 2: Convert to fraction form
    349,381.77/482,143.94 = 196,420.65/x
  3. Step 3: Cross multiply
    349,381.77x = 482,143.94 × 196,420.65
  4. Step 4: Simplify right side
    349,381.77x = 94,703,025,139.66
  5. Step 5: Solve for x
    x = 94,703,025,139.66/349,381.77
  6. Step 6: Final answer
    x = 271,058.86

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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.