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Finding the Fourth Proportional to 392,854.50, 542,139.21 and 214,006.50

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Solution

The fourth proportional to 392,854.50, 542,139.21 and 214,006.50 is: 295,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,854.50 : 542,139.21 = 214,006.50 : x
  2. Step 2: Convert to fraction form
    392,854.50/542,139.21 = 214,006.50/x
  3. Step 3: Cross multiply
    392,854.50x = 542,139.21 × 214,006.50
  4. Step 4: Simplify right side
    392,854.50x = 116,021,314,844.87
  5. Step 5: Solve for x
    x = 116,021,314,844.87/392,854.50
  6. Step 6: Final answer
    x = 295,328.97

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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.