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Finding the Fourth Proportional to 288,157.21, 432,540.17 and 161,905.35

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Solution

The fourth proportional to 288,157.21, 432,540.17 and 161,905.35 is: 243,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157.21 : 432,540.17 = 161,905.35 : x
  2. Step 2: Convert to fraction form
    288,157.21/432,540.17 = 161,905.35/x
  3. Step 3: Cross multiply
    288,157.21x = 432,540.17 × 161,905.35
  4. Step 4: Simplify right side
    288,157.21x = 70,030,567,612.91
  5. Step 5: Solve for x
    x = 70,030,567,612.91/288,157.21
  6. Step 6: Final answer
    x = 243,029.03

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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.