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Finding the Fourth Proportional to 768,718.86, 1,152,684.01 and 449,494.44

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Solution

The fourth proportional to 768,718.86, 1,152,684.01 and 449,494.44 is: 674,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,718.86 : 1,152,684.01 = 449,494.44 : x
  2. Step 2: Convert to fraction form
    768,718.86/1,152,684.01 = 449,494.44/x
  3. Step 3: Cross multiply
    768,718.86x = 1,152,684.01 × 449,494.44
  4. Step 4: Simplify right side
    768,718.86x = 518,125,053,571.90
  5. Step 5: Solve for x
    x = 518,125,053,571.90/768,718.86
  6. Step 6: Final answer
    x = 674,011.11

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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.