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Finding the Fourth Proportional to 710,942.88, 981,102 and 409,137.12

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Solution

The fourth proportional to 710,942.88, 981,102 and 409,137.12 is: 564,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,942.88 : 981,102 = 409,137.12 : x
  2. Step 2: Convert to fraction form
    710,942.88/981,102 = 409,137.12/x
  3. Step 3: Cross multiply
    710,942.88x = 981,102 × 409,137.12
  4. Step 4: Simplify right side
    710,942.88x = 401,405,246,706.24
  5. Step 5: Solve for x
    x = 401,405,246,706.24/710,942.88
  6. Step 6: Final answer
    x = 564,609.70

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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.