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Finding the Fourth Proportional to 443,533.86, 665,305.65 and 127,993.50

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Solution

The fourth proportional to 443,533.86, 665,305.65 and 127,993.50 is: 191,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,533.86 : 665,305.65 = 127,993.50 : x
  2. Step 2: Convert to fraction form
    443,533.86/665,305.65 = 127,993.50/x
  3. Step 3: Cross multiply
    443,533.86x = 665,305.65 × 127,993.50
  4. Step 4: Simplify right side
    443,533.86x = 85,154,798,713.28
  5. Step 5: Solve for x
    x = 85,154,798,713.28/443,533.86
  6. Step 6: Final answer
    x = 191,991.65

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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.