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Finding the Fourth Proportional to 496,005.81, 684,541.50 and 281,122.80

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Solution

The fourth proportional to 496,005.81, 684,541.50 and 281,122.80 is: 387,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,005.81 : 684,541.50 = 281,122.80 : x
  2. Step 2: Convert to fraction form
    496,005.81/684,541.50 = 281,122.80/x
  3. Step 3: Cross multiply
    496,005.81x = 684,541.50 × 281,122.80
  4. Step 4: Simplify right side
    496,005.81x = 192,440,223,196.20
  5. Step 5: Solve for x
    x = 192,440,223,196.20/496,005.81
  6. Step 6: Final answer
    x = 387,979.78

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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.