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Finding the Fourth Proportional to 496,228, 684,794.64 and 269,878.36

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Solution

The fourth proportional to 496,228, 684,794.64 and 269,878.36 is: 372,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,228 : 684,794.64 = 269,878.36 : x
  2. Step 2: Convert to fraction form
    496,228/684,794.64 = 269,878.36/x
  3. Step 3: Cross multiply
    496,228x = 684,794.64 × 269,878.36
  4. Step 4: Simplify right side
    496,228x = 184,811,254,379.99
  5. Step 5: Solve for x
    x = 184,811,254,379.99/496,228
  6. Step 6: Final answer
    x = 372,432.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.