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Finding the Fourth Proportional to 282,398.35, 389,380.47 and 210,653.81

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Solution

The fourth proportional to 282,398.35, 389,380.47 and 210,653.81 is: 290,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,398.35 : 389,380.47 = 210,653.81 : x
  2. Step 2: Convert to fraction form
    282,398.35/389,380.47 = 210,653.81/x
  3. Step 3: Cross multiply
    282,398.35x = 389,380.47 × 210,653.81
  4. Step 4: Simplify right side
    282,398.35x = 82,024,480,458.68
  5. Step 5: Solve for x
    x = 82,024,480,458.68/282,398.35
  6. Step 6: Final answer
    x = 290,456.66

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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.