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Finding the Fourth Proportional to 345,402.72, 518,247.48 and 165,397.44

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Solution

The fourth proportional to 345,402.72, 518,247.48 and 165,397.44 is: 248,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,402.72 : 518,247.48 = 165,397.44 : x
  2. Step 2: Convert to fraction form
    345,402.72/518,247.48 = 165,397.44/x
  3. Step 3: Cross multiply
    345,402.72x = 518,247.48 × 165,397.44
  4. Step 4: Simplify right side
    345,402.72x = 85,716,806,478.45
  5. Step 5: Solve for x
    x = 85,716,806,478.45/345,402.72
  6. Step 6: Final answer
    x = 248,164.83

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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.