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Finding the Fourth Proportional to 763,016, 1,144,728.12 and 264,380

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Solution

The fourth proportional to 763,016, 1,144,728.12 and 264,380 is: 396,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,016 : 1,144,728.12 = 264,380 : x
  2. Step 2: Convert to fraction form
    763,016/1,144,728.12 = 264,380/x
  3. Step 3: Cross multiply
    763,016x = 1,144,728.12 × 264,380
  4. Step 4: Simplify right side
    763,016x = 302,643,220,365.60
  5. Step 5: Solve for x
    x = 302,643,220,365.60/763,016
  6. Step 6: Final answer
    x = 396,640.73

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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.