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Finding the Fourth Proportional to 380,044.80, 570,067.20 and 155,257.65

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Solution

The fourth proportional to 380,044.80, 570,067.20 and 155,257.65 is: 232,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,044.80 : 570,067.20 = 155,257.65 : x
  2. Step 2: Convert to fraction form
    380,044.80/570,067.20 = 155,257.65/x
  3. Step 3: Cross multiply
    380,044.80x = 570,067.20 × 155,257.65
  4. Step 4: Simplify right side
    380,044.80x = 88,507,293,814.08
  5. Step 5: Solve for x
    x = 88,507,293,814.08/380,044.80
  6. Step 6: Final answer
    x = 232,886.48

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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.