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Finding the Fourth Proportional to 539,439.54, 808,948.90 and 202,296.48

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Solution

The fourth proportional to 539,439.54, 808,948.90 and 202,296.48 is: 303,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,439.54 : 808,948.90 = 202,296.48 : x
  2. Step 2: Convert to fraction form
    539,439.54/808,948.90 = 202,296.48/x
  3. Step 3: Cross multiply
    539,439.54x = 808,948.90 × 202,296.48
  4. Step 4: Simplify right side
    539,439.54x = 163,647,514,969.87
  5. Step 5: Solve for x
    x = 163,647,514,969.87/539,439.54
  6. Step 6: Final answer
    x = 303,365.81

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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.