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Finding the Fourth Proportional to 432,155.12, 648,184.11 and 165,728.70

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Solution

The fourth proportional to 432,155.12, 648,184.11 and 165,728.70 is: 248,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,155.12 : 648,184.11 = 165,728.70 : x
  2. Step 2: Convert to fraction form
    432,155.12/648,184.11 = 165,728.70/x
  3. Step 3: Cross multiply
    432,155.12x = 648,184.11 × 165,728.70
  4. Step 4: Simplify right side
    432,155.12x = 107,422,709,910.96
  5. Step 5: Solve for x
    x = 107,422,709,910.96/432,155.12
  6. Step 6: Final answer
    x = 248,574.43

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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.