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Finding the Fourth Proportional to 330,494.96, 495,653.88 and 143,462

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Solution

The fourth proportional to 330,494.96, 495,653.88 and 143,462 is: 215,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,494.96 : 495,653.88 = 143,462 : x
  2. Step 2: Convert to fraction form
    330,494.96/495,653.88 = 143,462/x
  3. Step 3: Cross multiply
    330,494.96x = 495,653.88 × 143,462
  4. Step 4: Simplify right side
    330,494.96x = 71,107,496,932.56
  5. Step 5: Solve for x
    x = 71,107,496,932.56/330,494.96
  6. Step 6: Final answer
    x = 215,154.56

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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.