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Finding the Fourth Proportional to 392,957.66, 589,551.52 and 126,712.82

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Solution

The fourth proportional to 392,957.66, 589,551.52 and 126,712.82 is: 190,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,957.66 : 589,551.52 = 126,712.82 : x
  2. Step 2: Convert to fraction form
    392,957.66/589,551.52 = 126,712.82/x
  3. Step 3: Cross multiply
    392,957.66x = 589,551.52 × 126,712.82
  4. Step 4: Simplify right side
    392,957.66x = 74,703,735,634.49
  5. Step 5: Solve for x
    x = 74,703,735,634.49/392,957.66
  6. Step 6: Final answer
    x = 190,106.32

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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.