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Finding the Fourth Proportional to 343,402.10, 514,738.65 and 165,793.40

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Solution

The fourth proportional to 343,402.10, 514,738.65 and 165,793.40 is: 248,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,402.10 : 514,738.65 = 165,793.40 : x
  2. Step 2: Convert to fraction form
    343,402.10/514,738.65 = 165,793.40/x
  3. Step 3: Cross multiply
    343,402.10x = 514,738.65 × 165,793.40
  4. Step 4: Simplify right side
    343,402.10x = 85,340,270,894.91
  5. Step 5: Solve for x
    x = 85,340,270,894.91/343,402.10
  6. Step 6: Final answer
    x = 248,514.12

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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.