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Finding the Fourth Proportional to 392,984.54, 542,321.66 and 218,557.19

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Solution

The fourth proportional to 392,984.54, 542,321.66 and 218,557.19 is: 301,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,984.54 : 542,321.66 = 218,557.19 : x
  2. Step 2: Convert to fraction form
    392,984.54/542,321.66 = 218,557.19/x
  3. Step 3: Cross multiply
    392,984.54x = 542,321.66 × 218,557.19
  4. Step 4: Simplify right side
    392,984.54x = 118,528,294,281.34
  5. Step 5: Solve for x
    x = 118,528,294,281.34/392,984.54
  6. Step 6: Final answer
    x = 301,610.58

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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.