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Finding the Fourth Proportional to 538,314.30, 809,221.05 and 461,331.90

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Solution

The fourth proportional to 538,314.30, 809,221.05 and 461,331.90 is: 693,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,314.30 : 809,221.05 = 461,331.90 : x
  2. Step 2: Convert to fraction form
    538,314.30/809,221.05 = 461,331.90/x
  3. Step 3: Cross multiply
    538,314.30x = 809,221.05 × 461,331.90
  4. Step 4: Simplify right side
    538,314.30x = 373,319,484,516.50
  5. Step 5: Solve for x
    x = 373,319,484,516.50/538,314.30
  6. Step 6: Final answer
    x = 693,497.25

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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.