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Finding the Fourth Proportional to 523,505.32, 785,491.26 and 274,129

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Solution

The fourth proportional to 523,505.32, 785,491.26 and 274,129 is: 411,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,505.32 : 785,491.26 = 274,129 : x
  2. Step 2: Convert to fraction form
    523,505.32/785,491.26 = 274,129/x
  3. Step 3: Cross multiply
    523,505.32x = 785,491.26 × 274,129
  4. Step 4: Simplify right side
    523,505.32x = 215,325,933,612.54
  5. Step 5: Solve for x
    x = 215,325,933,612.54/523,505.32
  6. Step 6: Final answer
    x = 411,315.66

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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.