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Finding the Fourth Proportional to 378,061.32, 521,726.22 and 208,295.46

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Solution

The fourth proportional to 378,061.32, 521,726.22 and 208,295.46 is: 287,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,061.32 : 521,726.22 = 208,295.46 : x
  2. Step 2: Convert to fraction form
    378,061.32/521,726.22 = 208,295.46/x
  3. Step 3: Cross multiply
    378,061.32x = 521,726.22 × 208,295.46
  4. Step 4: Simplify right side
    378,061.32x = 108,673,202,988.96
  5. Step 5: Solve for x
    x = 108,673,202,988.96/378,061.32
  6. Step 6: Final answer
    x = 287,448.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.