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Finding the Fourth Proportional to 393,817.50, 543,423.20 and 221,731.02

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Solution

The fourth proportional to 393,817.50, 543,423.20 and 221,731.02 is: 305,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,817.50 : 543,423.20 = 221,731.02 : x
  2. Step 2: Convert to fraction form
    393,817.50/543,423.20 = 221,731.02/x
  3. Step 3: Cross multiply
    393,817.50x = 543,423.20 × 221,731.02
  4. Step 4: Simplify right side
    393,817.50x = 120,493,779,319.01
  5. Step 5: Solve for x
    x = 120,493,779,319.01/393,817.50
  6. Step 6: Final answer
    x = 305,963.50

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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.