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Finding the Fourth Proportional to 361,878.42, 541,959.57 and 286,757.01

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Solution

The fourth proportional to 361,878.42, 541,959.57 and 286,757.01 is: 429,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,878.42 : 541,959.57 = 286,757.01 : x
  2. Step 2: Convert to fraction form
    361,878.42/541,959.57 = 286,757.01/x
  3. Step 3: Cross multiply
    361,878.42x = 541,959.57 × 286,757.01
  4. Step 4: Simplify right side
    361,878.42x = 155,410,705,834.09
  5. Step 5: Solve for x
    x = 155,410,705,834.09/361,878.42
  6. Step 6: Final answer
    x = 429,455.58

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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.