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Finding the Fourth Proportional to 394,089.50, 543,844.14 and 224,323.64

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Solution

The fourth proportional to 394,089.50, 543,844.14 and 224,323.64 is: 309,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,089.50 : 543,844.14 = 224,323.64 : x
  2. Step 2: Convert to fraction form
    394,089.50/543,844.14 = 224,323.64/x
  3. Step 3: Cross multiply
    394,089.50x = 543,844.14 × 224,323.64
  4. Step 4: Simplify right side
    394,089.50x = 121,997,097,077.47
  5. Step 5: Solve for x
    x = 121,997,097,077.47/394,089.50
  6. Step 6: Final answer
    x = 309,566.98

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1.5x scale

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.