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Finding the Fourth Proportional to 362,108.80, 542,817.60 and 282,102.40

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Solution

The fourth proportional to 362,108.80, 542,817.60 and 282,102.40 is: 422,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,108.80 : 542,817.60 = 282,102.40 : x
  2. Step 2: Convert to fraction form
    362,108.80/542,817.60 = 282,102.40/x
  3. Step 3: Cross multiply
    362,108.80x = 542,817.60 × 282,102.40
  4. Step 4: Simplify right side
    362,108.80x = 153,130,147,722.24
  5. Step 5: Solve for x
    x = 153,130,147,722.24/362,108.80
  6. Step 6: Final answer
    x = 422,884.36

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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.