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Finding the Fourth Proportional to 392,989.54, 542,328.56 and 218,562.18

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Solution

The fourth proportional to 392,989.54, 542,328.56 and 218,562.18 is: 301,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,989.54 : 542,328.56 = 218,562.18 : x
  2. Step 2: Convert to fraction form
    392,989.54/542,328.56 = 218,562.18/x
  3. Step 3: Cross multiply
    392,989.54x = 542,328.56 × 218,562.18
  4. Step 4: Simplify right side
    392,989.54x = 118,532,512,349.86
  5. Step 5: Solve for x
    x = 118,532,512,349.86/392,989.54
  6. Step 6: Final answer
    x = 301,617.47

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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.