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Finding the Fourth Proportional to 362,018.40, 542,811.60 and 221,877.60

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Solution

The fourth proportional to 362,018.40, 542,811.60 and 221,877.60 is: 332,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,018.40 : 542,811.60 = 221,877.60 : x
  2. Step 2: Convert to fraction form
    362,018.40/542,811.60 = 221,877.60/x
  3. Step 3: Cross multiply
    362,018.40x = 542,811.60 × 221,877.60
  4. Step 4: Simplify right side
    362,018.40x = 120,437,735,060.16
  5. Step 5: Solve for x
    x = 120,437,735,060.16/362,018.40
  6. Step 6: Final answer
    x = 332,684.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.