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Finding the Fourth Proportional to 380,514.82, 570,854.03 and 110,647.65

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Solution

The fourth proportional to 380,514.82, 570,854.03 and 110,647.65 is: 165,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,514.82 : 570,854.03 = 110,647.65 : x
  2. Step 2: Convert to fraction form
    380,514.82/570,854.03 = 110,647.65/x
  3. Step 3: Cross multiply
    380,514.82x = 570,854.03 × 110,647.65
  4. Step 4: Simplify right side
    380,514.82x = 63,163,653,505.02
  5. Step 5: Solve for x
    x = 63,163,653,505.02/380,514.82
  6. Step 6: Final answer
    x = 165,995.25

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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.