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Finding the Fourth Proportional to 522,727.07, 784,099.19 and 143,645.42

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Solution

The fourth proportional to 522,727.07, 784,099.19 and 143,645.42 is: 215,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,727.07 : 784,099.19 = 143,645.42 : x
  2. Step 2: Convert to fraction form
    522,727.07/784,099.19 = 143,645.42/x
  3. Step 3: Cross multiply
    522,727.07x = 784,099.19 × 143,645.42
  4. Step 4: Simplify right side
    522,727.07x = 112,632,258,711.23
  5. Step 5: Solve for x
    x = 112,632,258,711.23/522,727.07
  6. Step 6: Final answer
    x = 215,470.49

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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.