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Finding the Fourth Proportional to 765,047.52, 1,147,572.04 and 285,268

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Solution

The fourth proportional to 765,047.52, 1,147,572.04 and 285,268 is: 427,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,047.52 : 1,147,572.04 = 285,268 : x
  2. Step 2: Convert to fraction form
    765,047.52/1,147,572.04 = 285,268/x
  3. Step 3: Cross multiply
    765,047.52x = 1,147,572.04 × 285,268
  4. Step 4: Simplify right side
    765,047.52x = 327,365,580,706.72
  5. Step 5: Solve for x
    x = 327,365,580,706.72/765,047.52
  6. Step 6: Final answer
    x = 427,902.28

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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.