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Finding the Fourth Proportional to 285,137.85, 393,502.64 and 157,813.41

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Solution

The fourth proportional to 285,137.85, 393,502.64 and 157,813.41 is: 217,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,137.85 : 393,502.64 = 157,813.41 : x
  2. Step 2: Convert to fraction form
    285,137.85/393,502.64 = 157,813.41/x
  3. Step 3: Cross multiply
    285,137.85x = 393,502.64 × 157,813.41
  4. Step 4: Simplify right side
    285,137.85x = 62,099,993,462.40
  5. Step 5: Solve for x
    x = 62,099,993,462.40/285,137.85
  6. Step 6: Final answer
    x = 217,789.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.