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Finding the Fourth Proportional to 356,992.64, 492,565.34 and 201,947.49

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Solution

The fourth proportional to 356,992.64, 492,565.34 and 201,947.49 is: 278,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,992.64 : 492,565.34 = 201,947.49 : x
  2. Step 2: Convert to fraction form
    356,992.64/492,565.34 = 201,947.49/x
  3. Step 3: Cross multiply
    356,992.64x = 492,565.34 × 201,947.49
  4. Step 4: Simplify right side
    356,992.64x = 99,472,333,064.26
  5. Step 5: Solve for x
    x = 99,472,333,064.26/356,992.64
  6. Step 6: Final answer
    x = 278,639.73

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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.