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Finding the Fourth Proportional to 349,378.40, 482,159.30 and 196,464.74

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Solution

The fourth proportional to 349,378.40, 482,159.30 and 196,464.74 is: 271,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,378.40 : 482,159.30 = 196,464.74 : x
  2. Step 2: Convert to fraction form
    349,378.40/482,159.30 = 196,464.74/x
  3. Step 3: Cross multiply
    349,378.40x = 482,159.30 × 196,464.74
  4. Step 4: Simplify right side
    349,378.40x = 94,727,298,119.96
  5. Step 5: Solve for x
    x = 94,727,298,119.96/349,378.40
  6. Step 6: Final answer
    x = 271,130.95

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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.