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Finding the Fourth Proportional to 392,742.88, 589,070.18 and 108,473.84

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Solution

The fourth proportional to 392,742.88, 589,070.18 and 108,473.84 is: 162,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,742.88 : 589,070.18 = 108,473.84 : x
  2. Step 2: Convert to fraction form
    392,742.88/589,070.18 = 108,473.84/x
  3. Step 3: Cross multiply
    392,742.88x = 589,070.18 × 108,473.84
  4. Step 4: Simplify right side
    392,742.88x = 63,898,704,454.09
  5. Step 5: Solve for x
    x = 63,898,704,454.09/392,742.88
  6. Step 6: Final answer
    x = 162,698.57

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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.