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Finding the Fourth Proportional to 609,397.86, 913,536.92 and 209,943.66

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Solution

The fourth proportional to 609,397.86, 913,536.92 and 209,943.66 is: 314,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,397.86 : 913,536.92 = 209,943.66 : x
  2. Step 2: Convert to fraction form
    609,397.86/913,536.92 = 209,943.66/x
  3. Step 3: Cross multiply
    609,397.86x = 913,536.92 × 209,943.66
  4. Step 4: Simplify right side
    609,397.86x = 191,791,284,529.93
  5. Step 5: Solve for x
    x = 191,791,284,529.93/609,397.86
  6. Step 6: Final answer
    x = 314,722.61

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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.