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Finding the Fourth Proportional to 538,281.78, 807,395.83 and 201,297.66

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Solution

The fourth proportional to 538,281.78, 807,395.83 and 201,297.66 is: 301,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,281.78 : 807,395.83 = 201,297.66 : x
  2. Step 2: Convert to fraction form
    538,281.78/807,395.83 = 201,297.66/x
  3. Step 3: Cross multiply
    538,281.78x = 807,395.83 × 201,297.66
  4. Step 4: Simplify right side
    538,281.78x = 162,526,890,769.51
  5. Step 5: Solve for x
    x = 162,526,890,769.51/538,281.78
  6. Step 6: Final answer
    x = 301,936.45

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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.