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Finding the Fourth Proportional to 392,957.16, 589,550.76 and 126,712.32

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Solution

The fourth proportional to 392,957.16, 589,550.76 and 126,712.32 is: 190,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,957.16 : 589,550.76 = 126,712.32 : x
  2. Step 2: Convert to fraction form
    392,957.16/589,550.76 = 126,712.32/x
  3. Step 3: Cross multiply
    392,957.16x = 589,550.76 × 126,712.32
  4. Step 4: Simplify right side
    392,957.16x = 74,703,344,557.36
  5. Step 5: Solve for x
    x = 74,703,344,557.36/392,957.16
  6. Step 6: Final answer
    x = 190,105.57

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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.