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Finding the Fourth Proportional to 234,495.78, 323,479.38 and 142,643.16

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Solution

The fourth proportional to 234,495.78, 323,479.38 and 142,643.16 is: 196,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,495.78 : 323,479.38 = 142,643.16 : x
  2. Step 2: Convert to fraction form
    234,495.78/323,479.38 = 142,643.16/x
  3. Step 3: Cross multiply
    234,495.78x = 323,479.38 × 142,643.16
  4. Step 4: Simplify right side
    234,495.78x = 46,142,120,958.04
  5. Step 5: Solve for x
    x = 46,142,120,958.04/234,495.78
  6. Step 6: Final answer
    x = 196,771.65

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1.5x scale

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.