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Finding the Fourth Proportional to 392,578.56, 589,023.36 and 143,435.52

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Solution

The fourth proportional to 392,578.56, 589,023.36 and 143,435.52 is: 215,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,578.56 : 589,023.36 = 143,435.52 : x
  2. Step 2: Convert to fraction form
    392,578.56/589,023.36 = 143,435.52/x
  3. Step 3: Cross multiply
    392,578.56x = 589,023.36 × 143,435.52
  4. Step 4: Simplify right side
    392,578.56x = 84,486,871,933.75
  5. Step 5: Solve for x
    x = 84,486,871,933.75/392,578.56
  6. Step 6: Final answer
    x = 215,210.10

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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.