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Finding the Fourth Proportional to 377,327.64, 565,991.46 and 258,639.16

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Solution

The fourth proportional to 377,327.64, 565,991.46 and 258,639.16 is: 387,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,327.64 : 565,991.46 = 258,639.16 : x
  2. Step 2: Convert to fraction form
    377,327.64/565,991.46 = 258,639.16/x
  3. Step 3: Cross multiply
    377,327.64x = 565,991.46 × 258,639.16
  4. Step 4: Simplify right side
    377,327.64x = 146,387,555,781.57
  5. Step 5: Solve for x
    x = 146,387,555,781.57/377,327.64
  6. Step 6: Final answer
    x = 387,958.74

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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.