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Finding the Fourth Proportional to 235,143, 324,590.34 and 163,564.56

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Solution

The fourth proportional to 235,143, 324,590.34 and 163,564.56 is: 225,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,143 : 324,590.34 = 163,564.56 : x
  2. Step 2: Convert to fraction form
    235,143/324,590.34 = 163,564.56/x
  3. Step 3: Cross multiply
    235,143x = 324,590.34 × 163,564.56
  4. Step 4: Simplify right side
    235,143x = 53,091,476,142.35
  5. Step 5: Solve for x
    x = 53,091,476,142.35/235,143
  6. Step 6: Final answer
    x = 225,783.78

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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.