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Finding the Fourth Proportional to 362,019.81, 543,117.54 and 109,285.20

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Solution

The fourth proportional to 362,019.81, 543,117.54 and 109,285.20 is: 163,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,019.81 : 543,117.54 = 109,285.20 : x
  2. Step 2: Convert to fraction form
    362,019.81/543,117.54 = 109,285.20/x
  3. Step 3: Cross multiply
    362,019.81x = 543,117.54 × 109,285.20
  4. Step 4: Simplify right side
    362,019.81x = 59,354,708,982.41
  5. Step 5: Solve for x
    x = 59,354,708,982.41/362,019.81
  6. Step 6: Final answer
    x = 163,954.31

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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.