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Finding the Fourth Proportional to 765,357.72, 1,147,292.26 and 365,895

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Solution

The fourth proportional to 765,357.72, 1,147,292.26 and 365,895 is: 548,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,357.72 : 1,147,292.26 = 365,895 : x
  2. Step 2: Convert to fraction form
    765,357.72/1,147,292.26 = 365,895/x
  3. Step 3: Cross multiply
    765,357.72x = 1,147,292.26 × 365,895
  4. Step 4: Simplify right side
    765,357.72x = 419,788,501,472.70
  5. Step 5: Solve for x
    x = 419,788,501,472.70/765,357.72
  6. Step 6: Final answer
    x = 548,486.66

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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.