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Finding the Fourth Proportional to 387,857.80, 581,786.74 and 121,641.56

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Solution

The fourth proportional to 387,857.80, 581,786.74 and 121,641.56 is: 182,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,857.80 : 581,786.74 = 121,641.56 : x
  2. Step 2: Convert to fraction form
    387,857.80/581,786.74 = 121,641.56/x
  3. Step 3: Cross multiply
    387,857.80x = 581,786.74 × 121,641.56
  4. Step 4: Simplify right side
    387,857.80x = 70,769,446,640.91
  5. Step 5: Solve for x
    x = 70,769,446,640.91/387,857.80
  6. Step 6: Final answer
    x = 182,462.35

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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.