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Finding the Fourth Proportional to 287,438.30, 396,673.85 and 164,953.09

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Solution

The fourth proportional to 287,438.30, 396,673.85 and 164,953.09 is: 227,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,438.30 : 396,673.85 = 164,953.09 : x
  2. Step 2: Convert to fraction form
    287,438.30/396,673.85 = 164,953.09/x
  3. Step 3: Cross multiply
    287,438.30x = 396,673.85 × 164,953.09
  4. Step 4: Simplify right side
    287,438.30x = 65,432,578,187.92
  5. Step 5: Solve for x
    x = 65,432,578,187.92/287,438.30
  6. Step 6: Final answer
    x = 227,640.43

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1.5x scale

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.