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Finding the Fourth Proportional to 343,403.91, 514,522.67 and 165,994.47

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Solution

The fourth proportional to 343,403.91, 514,522.67 and 165,994.47 is: 248,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,403.91 : 514,522.67 = 165,994.47 : x
  2. Step 2: Convert to fraction form
    343,403.91/514,522.67 = 165,994.47/x
  3. Step 3: Cross multiply
    343,403.91x = 514,522.67 × 165,994.47
  4. Step 4: Simplify right side
    343,403.91x = 85,407,917,079.66
  5. Step 5: Solve for x
    x = 85,407,917,079.66/343,403.91
  6. Step 6: Final answer
    x = 248,709.80

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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.