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Finding the Fourth Proportional to 392,969.77, 542,298.29 and 214,121.77

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Solution

The fourth proportional to 392,969.77, 542,298.29 and 214,121.77 is: 295,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,969.77 : 542,298.29 = 214,121.77 : x
  2. Step 2: Convert to fraction form
    392,969.77/542,298.29 = 214,121.77/x
  3. Step 3: Cross multiply
    392,969.77x = 542,298.29 × 214,121.77
  4. Step 4: Simplify right side
    392,969.77x = 116,117,869,722.77
  5. Step 5: Solve for x
    x = 116,117,869,722.77/392,969.77
  6. Step 6: Final answer
    x = 295,488.05

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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.