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Finding the Fourth Proportional to 437,342.40, 656,305.20 and 200,563.20

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Solution

The fourth proportional to 437,342.40, 656,305.20 and 200,563.20 is: 300,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,342.40 : 656,305.20 = 200,563.20 : x
  2. Step 2: Convert to fraction form
    437,342.40/656,305.20 = 200,563.20/x
  3. Step 3: Cross multiply
    437,342.40x = 656,305.20 × 200,563.20
  4. Step 4: Simplify right side
    437,342.40x = 131,630,671,088.64
  5. Step 5: Solve for x
    x = 131,630,671,088.64/437,342.40
  6. Step 6: Final answer
    x = 300,978.53

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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.