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Finding the Fourth Proportional to 326,726.45, 450,686.88 and 205,657.56

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Solution

The fourth proportional to 326,726.45, 450,686.88 and 205,657.56 is: 283,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,726.45 : 450,686.88 = 205,657.56 : x
  2. Step 2: Convert to fraction form
    326,726.45/450,686.88 = 205,657.56/x
  3. Step 3: Cross multiply
    326,726.45x = 450,686.88 × 205,657.56
  4. Step 4: Simplify right side
    326,726.45x = 92,687,164,064.81
  5. Step 5: Solve for x
    x = 92,687,164,064.81/326,726.45
  6. Step 6: Final answer
    x = 283,684.30

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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.