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Finding the Fourth Proportional to 288,157.71, 432,540.92 and 161,905.85

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Solution

The fourth proportional to 288,157.71, 432,540.92 and 161,905.85 is: 243,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157.71 : 432,540.92 = 161,905.85 : x
  2. Step 2: Convert to fraction form
    288,157.71/432,540.92 = 161,905.85/x
  3. Step 3: Cross multiply
    288,157.71x = 432,540.92 × 161,905.85
  4. Step 4: Simplify right side
    288,157.71x = 70,030,905,312.38
  5. Step 5: Solve for x
    x = 70,030,905,312.38/288,157.71
  6. Step 6: Final answer
    x = 243,029.78

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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.