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Finding the Fourth Proportional to 392,957.91, 589,551.89 and 126,713.07

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Solution

The fourth proportional to 392,957.91, 589,551.89 and 126,713.07 is: 190,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,957.91 : 589,551.89 = 126,713.07 : x
  2. Step 2: Convert to fraction form
    392,957.91/589,551.89 = 126,713.07/x
  3. Step 3: Cross multiply
    392,957.91x = 589,551.89 × 126,713.07
  4. Step 4: Simplify right side
    392,957.91x = 74,703,929,272.64
  5. Step 5: Solve for x
    x = 74,703,929,272.64/392,957.91
  6. Step 6: Final answer
    x = 190,106.69

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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.