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Finding the Fourth Proportional to 496,142.97, 684,656.64 and 281,297.58

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Solution

The fourth proportional to 496,142.97, 684,656.64 and 281,297.58 is: 388,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,142.97 : 684,656.64 = 281,297.58 : x
  2. Step 2: Convert to fraction form
    496,142.97/684,656.64 = 281,297.58/x
  3. Step 3: Cross multiply
    496,142.97x = 684,656.64 × 281,297.58
  4. Step 4: Simplify right side
    496,142.97x = 192,592,255,962.93
  5. Step 5: Solve for x
    x = 192,592,255,962.93/496,142.97
  6. Step 6: Final answer
    x = 388,178.95

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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.