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Finding the Fourth Proportional to 768,632.03, 1,153,647.70 and 409,104.73

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Solution

The fourth proportional to 768,632.03, 1,153,647.70 and 409,104.73 is: 614,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,632.03 : 1,153,647.70 = 409,104.73 : x
  2. Step 2: Convert to fraction form
    768,632.03/1,153,647.70 = 409,104.73/x
  3. Step 3: Cross multiply
    768,632.03x = 1,153,647.70 × 409,104.73
  4. Step 4: Simplify right side
    768,632.03x = 471,962,724,753.65
  5. Step 5: Solve for x
    x = 471,962,724,753.65/768,632.03
  6. Step 6: Final answer
    x = 614,029.48

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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.