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Finding the Fourth Proportional to 320,396.64, 480,667.85 and 170,557.98

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Solution

The fourth proportional to 320,396.64, 480,667.85 and 170,557.98 is: 255,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,396.64 : 480,667.85 = 170,557.98 : x
  2. Step 2: Convert to fraction form
    320,396.64/480,667.85 = 170,557.98/x
  3. Step 3: Cross multiply
    320,396.64x = 480,667.85 × 170,557.98
  4. Step 4: Simplify right side
    320,396.64x = 81,981,737,546.94
  5. Step 5: Solve for x
    x = 81,981,737,546.94/320,396.64
  6. Step 6: Final answer
    x = 255,875.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.