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Finding the Fourth Proportional to 282,420, 389,774.16 and 163,188

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Solution

The fourth proportional to 282,420, 389,774.16 and 163,188 is: 225,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420 : 389,774.16 = 163,188 : x
  2. Step 2: Convert to fraction form
    282,420/389,774.16 = 163,188/x
  3. Step 3: Cross multiply
    282,420x = 389,774.16 × 163,188
  4. Step 4: Simplify right side
    282,420x = 63,606,465,622.08
  5. Step 5: Solve for x
    x = 63,606,465,622.08/282,420
  6. Step 6: Final answer
    x = 225,219.41

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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.