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Finding the Fourth Proportional to 286,537.16, 395,320.24 and 163,940

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Solution

The fourth proportional to 286,537.16, 395,320.24 and 163,940 is: 226,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,537.16 : 395,320.24 = 163,940 : x
  2. Step 2: Convert to fraction form
    286,537.16/395,320.24 = 163,940/x
  3. Step 3: Cross multiply
    286,537.16x = 395,320.24 × 163,940
  4. Step 4: Simplify right side
    286,537.16x = 64,808,800,145.60
  5. Step 5: Solve for x
    x = 64,808,800,145.60/286,537.16
  6. Step 6: Final answer
    x = 226,179.39

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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.