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Finding the Fourth Proportional to 255,381.82, 352,437.84 and 142,204.56

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Solution

The fourth proportional to 255,381.82, 352,437.84 and 142,204.56 is: 196,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,381.82 : 352,437.84 = 142,204.56 : x
  2. Step 2: Convert to fraction form
    255,381.82/352,437.84 = 142,204.56/x
  3. Step 3: Cross multiply
    255,381.82x = 352,437.84 × 142,204.56
  4. Step 4: Simplify right side
    255,381.82x = 50,118,267,964.55
  5. Step 5: Solve for x
    x = 50,118,267,964.55/255,381.82
  6. Step 6: Final answer
    x = 196,248.38

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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.