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Finding the Fourth Proportional to 286,534, 429,633.18 and 109,054.12

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Solution

The fourth proportional to 286,534, 429,633.18 and 109,054.12 is: 163,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,534 : 429,633.18 = 109,054.12 : x
  2. Step 2: Convert to fraction form
    286,534/429,633.18 = 109,054.12/x
  3. Step 3: Cross multiply
    286,534x = 429,633.18 × 109,054.12
  4. Step 4: Simplify right side
    286,534x = 46,853,268,367.70
  5. Step 5: Solve for x
    x = 46,853,268,367.70/286,534
  6. Step 6: Final answer
    x = 163,517.31

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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.