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Finding the Fourth Proportional to 392,720.84, 589,069.47 and 108,428.75

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Solution

The fourth proportional to 392,720.84, 589,069.47 and 108,428.75 is: 162,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,720.84 : 589,069.47 = 108,428.75 : x
  2. Step 2: Convert to fraction form
    392,720.84/589,069.47 = 108,428.75/x
  3. Step 3: Cross multiply
    392,720.84x = 589,069.47 × 108,428.75
  4. Step 4: Simplify right side
    392,720.84x = 63,872,063,349.92
  5. Step 5: Solve for x
    x = 63,872,063,349.92/392,720.84
  6. Step 6: Final answer
    x = 162,639.86

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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.