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Finding the Fourth Proportional to 286,198.40, 429,297.60 and 99,209.88

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Solution

The fourth proportional to 286,198.40, 429,297.60 and 99,209.88 is: 148,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,198.40 : 429,297.60 = 99,209.88 : x
  2. Step 2: Convert to fraction form
    286,198.40/429,297.60 = 99,209.88/x
  3. Step 3: Cross multiply
    286,198.40x = 429,297.60 × 99,209.88
  4. Step 4: Simplify right side
    286,198.40x = 42,590,563,380.29
  5. Step 5: Solve for x
    x = 42,590,563,380.29/286,198.40
  6. Step 6: Final answer
    x = 148,814.82

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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.