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Finding the Fourth Proportional to 282,464.97, 389,800.32 and 153,402.54

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Solution

The fourth proportional to 282,464.97, 389,800.32 and 153,402.54 is: 211,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464.97 : 389,800.32 = 153,402.54 : x
  2. Step 2: Convert to fraction form
    282,464.97/389,800.32 = 153,402.54/x
  3. Step 3: Cross multiply
    282,464.97x = 389,800.32 × 153,402.54
  4. Step 4: Simplify right side
    282,464.97x = 59,796,359,180.81
  5. Step 5: Solve for x
    x = 59,796,359,180.81/282,464.97
  6. Step 6: Final answer
    x = 211,694.78

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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.