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Finding the Fourth Proportional to 313,064.92, 431,891.89 and 211,053.12

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Solution

The fourth proportional to 313,064.92, 431,891.89 and 211,053.12 is: 291,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,064.92 : 431,891.89 = 211,053.12 : x
  2. Step 2: Convert to fraction form
    313,064.92/431,891.89 = 211,053.12/x
  3. Step 3: Cross multiply
    313,064.92x = 431,891.89 × 211,053.12
  4. Step 4: Simplify right side
    313,064.92x = 91,152,130,887.20
  5. Step 5: Solve for x
    x = 91,152,130,887.20/313,064.92
  6. Step 6: Final answer
    x = 291,160.48

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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.