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Finding the Fourth Proportional to 498,416.80, 687,791.16 and 283,536.64

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Solution

The fourth proportional to 498,416.80, 687,791.16 and 283,536.64 is: 391,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,416.80 : 687,791.16 = 283,536.64 : x
  2. Step 2: Convert to fraction form
    498,416.80/687,791.16 = 283,536.64/x
  3. Step 3: Cross multiply
    498,416.80x = 687,791.16 × 283,536.64
  4. Step 4: Simplify right side
    498,416.80x = 195,013,994,528.10
  5. Step 5: Solve for x
    x = 195,013,994,528.10/498,416.80
  6. Step 6: Final answer
    x = 391,266.90

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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.