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Finding the Fourth Proportional to 282,120.86, 389,326.79 and 161,264.77

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Solution

The fourth proportional to 282,120.86, 389,326.79 and 161,264.77 is: 222,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,120.86 : 389,326.79 = 161,264.77 : x
  2. Step 2: Convert to fraction form
    282,120.86/389,326.79 = 161,264.77/x
  3. Step 3: Cross multiply
    282,120.86x = 389,326.79 × 161,264.77
  4. Step 4: Simplify right side
    282,120.86x = 62,784,694,674.03
  5. Step 5: Solve for x
    x = 62,784,694,674.03/282,120.86
  6. Step 6: Final answer
    x = 222,545.38

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1.5x scale

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.