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Finding the Fourth Proportional to 292,371.51, 403,468.34 and 163,311.78

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Solution

The fourth proportional to 292,371.51, 403,468.34 and 163,311.78 is: 225,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,371.51 : 403,468.34 = 163,311.78 : x
  2. Step 2: Convert to fraction form
    292,371.51/403,468.34 = 163,311.78/x
  3. Step 3: Cross multiply
    292,371.51x = 403,468.34 × 163,311.78
  4. Step 4: Simplify right side
    292,371.51x = 65,891,132,124.61
  5. Step 5: Solve for x
    x = 65,891,132,124.61/292,371.51
  6. Step 6: Final answer
    x = 225,367.83

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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.