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Finding the Fourth Proportional to 282,400, 389,746.56 and 163,168

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Solution

The fourth proportional to 282,400, 389,746.56 and 163,168 is: 225,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400 : 389,746.56 = 163,168 : x
  2. Step 2: Convert to fraction form
    282,400/389,746.56 = 163,168/x
  3. Step 3: Cross multiply
    282,400x = 389,746.56 × 163,168
  4. Step 4: Simplify right side
    282,400x = 63,594,166,702.08
  5. Step 5: Solve for x
    x = 63,594,166,702.08/282,400
  6. Step 6: Final answer
    x = 225,191.81

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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.