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Finding the Fourth Proportional to 282,572.91, 389,948.85 and 169,395.66

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Solution

The fourth proportional to 282,572.91, 389,948.85 and 169,395.66 is: 233,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,572.91 : 389,948.85 = 169,395.66 : x
  2. Step 2: Convert to fraction form
    282,572.91/389,948.85 = 169,395.66/x
  3. Step 3: Cross multiply
    282,572.91x = 389,948.85 × 169,395.66
  4. Step 4: Simplify right side
    282,572.91x = 66,055,642,811.99
  5. Step 5: Solve for x
    x = 66,055,642,811.99/282,572.91
  6. Step 6: Final answer
    x = 233,764.95

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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.