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Finding the Fourth Proportional to 496,012.83, 684,499.32 and 281,167.35

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Solution

The fourth proportional to 496,012.83, 684,499.32 and 281,167.35 is: 388,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,012.83 : 684,499.32 = 281,167.35 : x
  2. Step 2: Convert to fraction form
    496,012.83/684,499.32 = 281,167.35/x
  3. Step 3: Cross multiply
    496,012.83x = 684,499.32 × 281,167.35
  4. Step 4: Simplify right side
    496,012.83x = 192,458,859,881.20
  5. Step 5: Solve for x
    x = 192,458,859,881.20/496,012.83
  6. Step 6: Final answer
    x = 388,011.86

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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.