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Finding the Fourth Proportional to 432,231.30, 648,152.55 and 165,903.30

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Solution

The fourth proportional to 432,231.30, 648,152.55 and 165,903.30 is: 248,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,231.30 : 648,152.55 = 165,903.30 : x
  2. Step 2: Convert to fraction form
    432,231.30/648,152.55 = 165,903.30/x
  3. Step 3: Cross multiply
    432,231.30x = 648,152.55 × 165,903.30
  4. Step 4: Simplify right side
    432,231.30x = 107,530,646,948.42
  5. Step 5: Solve for x
    x = 107,530,646,948.42/432,231.30
  6. Step 6: Final answer
    x = 248,780.33

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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.