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Finding the Fourth Proportional to 286,286.40, 429,429.60 and 279,725.40

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Solution

The fourth proportional to 286,286.40, 429,429.60 and 279,725.40 is: 419,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,286.40 : 429,429.60 = 279,725.40 : x
  2. Step 2: Convert to fraction form
    286,286.40/429,429.60 = 279,725.40/x
  3. Step 3: Cross multiply
    286,286.40x = 429,429.60 × 279,725.40
  4. Step 4: Simplify right side
    286,286.40x = 120,122,366,631.84
  5. Step 5: Solve for x
    x = 120,122,366,631.84/286,286.40
  6. Step 6: Final answer
    x = 419,588.10

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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.