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Finding the Fourth Proportional to 538,643.78, 807,986.10 and 201,649.04

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Solution

The fourth proportional to 538,643.78, 807,986.10 and 201,649.04 is: 302,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,643.78 : 807,986.10 = 201,649.04 : x
  2. Step 2: Convert to fraction form
    538,643.78/807,986.10 = 201,649.04/x
  3. Step 3: Cross multiply
    538,643.78x = 807,986.10 × 201,649.04
  4. Step 4: Simplify right side
    538,643.78x = 162,929,621,398.34
  5. Step 5: Solve for x
    x = 162,929,621,398.34/538,643.78
  6. Step 6: Final answer
    x = 302,481.21

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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.