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Finding the Fourth Proportional to 286,486.08, 429,729.60 and 99,366

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Solution

The fourth proportional to 286,486.08, 429,729.60 and 99,366 is: 149,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,486.08 : 429,729.60 = 99,366 : x
  2. Step 2: Convert to fraction form
    286,486.08/429,729.60 = 99,366/x
  3. Step 3: Cross multiply
    286,486.08x = 429,729.60 × 99,366
  4. Step 4: Simplify right side
    286,486.08x = 42,700,511,433.60
  5. Step 5: Solve for x
    x = 42,700,511,433.60/286,486.08
  6. Step 6: Final answer
    x = 149,049.17

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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.