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Finding the Fourth Proportional to 496,321.40, 684,984.33 and 292,361.78

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Solution

The fourth proportional to 496,321.40, 684,984.33 and 292,361.78 is: 403,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,321.40 : 684,984.33 = 292,361.78 : x
  2. Step 2: Convert to fraction form
    496,321.40/684,984.33 = 292,361.78/x
  3. Step 3: Cross multiply
    496,321.40x = 684,984.33 × 292,361.78
  4. Step 4: Simplify right side
    496,321.40x = 200,263,234,565.99
  5. Step 5: Solve for x
    x = 200,263,234,565.99/496,321.40
  6. Step 6: Final answer
    x = 403,495.07

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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.