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Finding the Fourth Proportional to 282,442, 389,804.52 and 163,210

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Solution

The fourth proportional to 282,442, 389,804.52 and 163,210 is: 225,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442 : 389,804.52 = 163,210 : x
  2. Step 2: Convert to fraction form
    282,442/389,804.52 = 163,210/x
  3. Step 3: Cross multiply
    282,442x = 389,804.52 × 163,210
  4. Step 4: Simplify right side
    282,442x = 63,619,995,709.20
  5. Step 5: Solve for x
    x = 63,619,995,709.20/282,442
  6. Step 6: Final answer
    x = 225,249.77

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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.