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Finding the Fourth Proportional to 392,724.84, 589,070.76 and 126,479.40

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Solution

The fourth proportional to 392,724.84, 589,070.76 and 126,479.40 is: 189,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,724.84 : 589,070.76 = 126,479.40 : x
  2. Step 2: Convert to fraction form
    392,724.84/589,070.76 = 126,479.40/x
  3. Step 3: Cross multiply
    392,724.84x = 589,070.76 × 126,479.40
  4. Step 4: Simplify right side
    392,724.84x = 74,505,316,282.34
  5. Step 5: Solve for x
    x = 74,505,316,282.34/392,724.84
  6. Step 6: Final answer
    x = 189,713.79

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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.