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Finding the Fourth Proportional to 392,647.93, 589,064.20 and 126,398.50

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Solution

The fourth proportional to 392,647.93, 589,064.20 and 126,398.50 is: 189,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,647.93 : 589,064.20 = 126,398.50 : x
  2. Step 2: Convert to fraction form
    392,647.93/589,064.20 = 126,398.50/x
  3. Step 3: Cross multiply
    392,647.93x = 589,064.20 × 126,398.50
  4. Step 4: Simplify right side
    392,647.93x = 74,456,829,495.04
  5. Step 5: Solve for x
    x = 74,456,829,495.04/392,647.93
  6. Step 6: Final answer
    x = 189,627.46

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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.