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Finding the Fourth Proportional to 765,356.72, 1,147,290.76 and 365,894

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Solution

The fourth proportional to 765,356.72, 1,147,290.76 and 365,894 is: 548,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,356.72 : 1,147,290.76 = 365,894 : x
  2. Step 2: Convert to fraction form
    765,356.72/1,147,290.76 = 365,894/x
  3. Step 3: Cross multiply
    765,356.72x = 1,147,290.76 × 365,894
  4. Step 4: Simplify right side
    765,356.72x = 419,786,805,339.44
  5. Step 5: Solve for x
    x = 419,786,805,339.44/765,356.72
  6. Step 6: Final answer
    x = 548,485.16

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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.