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Finding the Fourth Proportional to 282,477, 389,852.82 and 163,245

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Solution

The fourth proportional to 282,477, 389,852.82 and 163,245 is: 225,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,477 : 389,852.82 = 163,245 : x
  2. Step 2: Convert to fraction form
    282,477/389,852.82 = 163,245/x
  3. Step 3: Cross multiply
    282,477x = 389,852.82 × 163,245
  4. Step 4: Simplify right side
    282,477x = 63,641,523,600.90
  5. Step 5: Solve for x
    x = 63,641,523,600.90/282,477
  6. Step 6: Final answer
    x = 225,298.07

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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.