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Finding the Fourth Proportional to 392,970.27, 542,298.98 and 214,122.27

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Solution

The fourth proportional to 392,970.27, 542,298.98 and 214,122.27 is: 295,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,970.27 : 542,298.98 = 214,122.27 : x
  2. Step 2: Convert to fraction form
    392,970.27/542,298.98 = 214,122.27/x
  3. Step 3: Cross multiply
    392,970.27x = 542,298.98 × 214,122.27
  4. Step 4: Simplify right side
    392,970.27x = 116,118,289,151.59
  5. Step 5: Solve for x
    x = 116,118,289,151.59/392,970.27
  6. Step 6: Final answer
    x = 295,488.74

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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.