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Finding the Fourth Proportional to 392,947.50, 542,267.55 and 214,099.50

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Solution

The fourth proportional to 392,947.50, 542,267.55 and 214,099.50 is: 295,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,947.50 : 542,267.55 = 214,099.50 : x
  2. Step 2: Convert to fraction form
    392,947.50/542,267.55 = 214,099.50/x
  3. Step 3: Cross multiply
    392,947.50x = 542,267.55 × 214,099.50
  4. Step 4: Simplify right side
    392,947.50x = 116,099,211,321.23
  5. Step 5: Solve for x
    x = 116,099,211,321.23/392,947.50
  6. Step 6: Final answer
    x = 295,457.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.