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Finding the Fourth Proportional to 284,758.92, 392,854.30 and 163,835.14

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Solution

The fourth proportional to 284,758.92, 392,854.30 and 163,835.14 is: 226,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,758.92 : 392,854.30 = 163,835.14 : x
  2. Step 2: Convert to fraction form
    284,758.92/392,854.30 = 163,835.14/x
  3. Step 3: Cross multiply
    284,758.92x = 392,854.30 × 163,835.14
  4. Step 4: Simplify right side
    284,758.92x = 64,363,339,240.10
  5. Step 5: Solve for x
    x = 64,363,339,240.10/284,758.92
  6. Step 6: Final answer
    x = 226,027.47

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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.