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Finding the Fourth Proportional to 538,180.65, 806,997.60 and 313,587.90

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Solution

The fourth proportional to 538,180.65, 806,997.60 and 313,587.90 is: 470,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,180.65 : 806,997.60 = 313,587.90 : x
  2. Step 2: Convert to fraction form
    538,180.65/806,997.60 = 313,587.90/x
  3. Step 3: Cross multiply
    538,180.65x = 806,997.60 × 313,587.90
  4. Step 4: Simplify right side
    538,180.65x = 253,064,682,689.04
  5. Step 5: Solve for x
    x = 253,064,682,689.04/538,180.65
  6. Step 6: Final answer
    x = 470,222.56

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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.