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Finding the Fourth Proportional to 312,781.86, 431,887.41 and 288,899.82

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Solution

The fourth proportional to 312,781.86, 431,887.41 and 288,899.82 is: 398,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,781.86 : 431,887.41 = 288,899.82 : x
  2. Step 2: Convert to fraction form
    312,781.86/431,887.41 = 288,899.82/x
  3. Step 3: Cross multiply
    312,781.86x = 431,887.41 × 288,899.82
  4. Step 4: Simplify right side
    312,781.86x = 124,772,195,009.27
  5. Step 5: Solve for x
    x = 124,772,195,009.27/312,781.86
  6. Step 6: Final answer
    x = 398,911.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.