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Finding the Fourth Proportional to 328,057.60, 492,105.84 and 103,425.16

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Solution

The fourth proportional to 328,057.60, 492,105.84 and 103,425.16 is: 155,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,057.60 : 492,105.84 = 103,425.16 : x
  2. Step 2: Convert to fraction form
    328,057.60/492,105.84 = 103,425.16/x
  3. Step 3: Cross multiply
    328,057.60x = 492,105.84 × 103,425.16
  4. Step 4: Simplify right side
    328,057.60x = 50,896,125,238.93
  5. Step 5: Solve for x
    x = 50,896,125,238.93/328,057.60
  6. Step 6: Final answer
    x = 155,143.87

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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.