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Finding the Fourth Proportional to 392,095.40, 588,143.10 and 303,412.55

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Solution

The fourth proportional to 392,095.40, 588,143.10 and 303,412.55 is: 455,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,095.40 : 588,143.10 = 303,412.55 : x
  2. Step 2: Convert to fraction form
    392,095.40/588,143.10 = 303,412.55/x
  3. Step 3: Cross multiply
    392,095.40x = 588,143.10 × 303,412.55
  4. Step 4: Simplify right side
    392,095.40x = 178,449,997,735.91
  5. Step 5: Solve for x
    x = 178,449,997,735.91/392,095.40
  6. Step 6: Final answer
    x = 455,118.83

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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.