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Finding the Fourth Proportional to 505,306.30, 757,856.96 and 185,349.26

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Solution

The fourth proportional to 505,306.30, 757,856.96 and 185,349.26 is: 277,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,306.30 : 757,856.96 = 185,349.26 : x
  2. Step 2: Convert to fraction form
    505,306.30/757,856.96 = 185,349.26/x
  3. Step 3: Cross multiply
    505,306.30x = 757,856.96 × 185,349.26
  4. Step 4: Simplify right side
    505,306.30x = 140,468,228,384.81
  5. Step 5: Solve for x
    x = 140,468,228,384.81/505,306.30
  6. Step 6: Final answer
    x = 277,986.30

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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.