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Finding the Fourth Proportional to 538,717.11, 808,070.81 and 206,293.11

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Solution

The fourth proportional to 538,717.11, 808,070.81 and 206,293.11 is: 309,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,717.11 : 808,070.81 = 206,293.11 : x
  2. Step 2: Convert to fraction form
    538,717.11/808,070.81 = 206,293.11/x
  3. Step 3: Cross multiply
    538,717.11x = 808,070.81 × 206,293.11
  4. Step 4: Simplify right side
    538,717.11x = 166,699,439,463.65
  5. Step 5: Solve for x
    x = 166,699,439,463.65/538,717.11
  6. Step 6: Final answer
    x = 309,437.80

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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.