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Finding the Fourth Proportional to 362,402.48, 543,610.20 and 152,022.80

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Solution

The fourth proportional to 362,402.48, 543,610.20 and 152,022.80 is: 228,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,402.48 : 543,610.20 = 152,022.80 : x
  2. Step 2: Convert to fraction form
    362,402.48/543,610.20 = 152,022.80/x
  3. Step 3: Cross multiply
    362,402.48x = 543,610.20 × 152,022.80
  4. Step 4: Simplify right side
    362,402.48x = 82,641,144,712.56
  5. Step 5: Solve for x
    x = 82,641,144,712.56/362,402.48
  6. Step 6: Final answer
    x = 228,036.92

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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.