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Finding the Fourth Proportional to 538,181.65, 806,999.10 and 313,588.90

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Solution

The fourth proportional to 538,181.65, 806,999.10 and 313,588.90 is: 470,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,181.65 : 806,999.10 = 313,588.90 : x
  2. Step 2: Convert to fraction form
    538,181.65/806,999.10 = 313,588.90/x
  3. Step 3: Cross multiply
    538,181.65x = 806,999.10 × 313,588.90
  4. Step 4: Simplify right side
    538,181.65x = 253,065,960,069.99
  5. Step 5: Solve for x
    x = 253,065,960,069.99/538,181.65
  6. Step 6: Final answer
    x = 470,224.06

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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.