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Finding the Fourth Proportional to 407,812.01, 611,711.60 and 100,067.28

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Solution

The fourth proportional to 407,812.01, 611,711.60 and 100,067.28 is: 150,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812.01 : 611,711.60 = 100,067.28 : x
  2. Step 2: Convert to fraction form
    407,812.01/611,711.60 = 100,067.28/x
  3. Step 3: Cross multiply
    407,812.01x = 611,711.60 × 100,067.28
  4. Step 4: Simplify right side
    407,812.01x = 61,212,316,206.62
  5. Step 5: Solve for x
    x = 61,212,316,206.62/407,812.01
  6. Step 6: Final answer
    x = 150,099.35

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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.