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Finding the Fourth Proportional to 257,380.98, 355,207.32 and 142,687.68

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Solution

The fourth proportional to 257,380.98, 355,207.32 and 142,687.68 is: 196,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,380.98 : 355,207.32 = 142,687.68 : x
  2. Step 2: Convert to fraction form
    257,380.98/355,207.32 = 142,687.68/x
  3. Step 3: Cross multiply
    257,380.98x = 355,207.32 × 142,687.68
  4. Step 4: Simplify right side
    257,380.98x = 50,683,708,409.82
  5. Step 5: Solve for x
    x = 50,683,708,409.82/257,380.98
  6. Step 6: Final answer
    x = 196,920.96

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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.