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Finding the Fourth Proportional to 505,058.96, 757,854.46 and 291,976.52

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Solution

The fourth proportional to 505,058.96, 757,854.46 and 291,976.52 is: 438,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,058.96 : 757,854.46 = 291,976.52 : x
  2. Step 2: Convert to fraction form
    505,058.96/757,854.46 = 291,976.52/x
  3. Step 3: Cross multiply
    505,058.96x = 757,854.46 × 291,976.52
  4. Step 4: Simplify right side
    505,058.96x = 221,275,705,917.60
  5. Step 5: Solve for x
    x = 221,275,705,917.60/505,058.96
  6. Step 6: Final answer
    x = 438,118.56

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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.