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Finding the Fourth Proportional to 392,719.50, 589,079.26 and 97,231.50

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Solution

The fourth proportional to 392,719.50, 589,079.26 and 97,231.50 is: 145,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,719.50 : 589,079.26 = 97,231.50 : x
  2. Step 2: Convert to fraction form
    392,719.50/589,079.26 = 97,231.50/x
  3. Step 3: Cross multiply
    392,719.50x = 589,079.26 × 97,231.50
  4. Step 4: Simplify right side
    392,719.50x = 57,277,060,068.69
  5. Step 5: Solve for x
    x = 57,277,060,068.69/392,719.50
  6. Step 6: Final answer
    x = 145,847.25

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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.