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Finding the Fourth Proportional to 286,519.14, 429,976.14 and 99,530.64

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Solution

The fourth proportional to 286,519.14, 429,976.14 and 99,530.64 is: 149,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,519.14 : 429,976.14 = 99,530.64 : x
  2. Step 2: Convert to fraction form
    286,519.14/429,976.14 = 99,530.64/x
  3. Step 3: Cross multiply
    286,519.14x = 429,976.14 × 99,530.64
  4. Step 4: Simplify right side
    286,519.14x = 42,795,800,398.93
  5. Step 5: Solve for x
    x = 42,795,800,398.93/286,519.14
  6. Step 6: Final answer
    x = 149,364.54

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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.