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Finding the Fourth Proportional to 394,412.10, 591,880.20 and 145,094.10

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Solution

The fourth proportional to 394,412.10, 591,880.20 and 145,094.10 is: 217,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,412.10 : 591,880.20 = 145,094.10 : x
  2. Step 2: Convert to fraction form
    394,412.10/591,880.20 = 145,094.10/x
  3. Step 3: Cross multiply
    394,412.10x = 591,880.20 × 145,094.10
  4. Step 4: Simplify right side
    394,412.10x = 85,878,324,926.82
  5. Step 5: Solve for x
    x = 85,878,324,926.82/394,412.10
  6. Step 6: Final answer
    x = 217,737.55

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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.