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Finding the Fourth Proportional to 474,942.84, 712,265.26 and 138,006.79

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Solution

The fourth proportional to 474,942.84, 712,265.26 and 138,006.79 is: 206,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,942.84 : 712,265.26 = 138,006.79 : x
  2. Step 2: Convert to fraction form
    474,942.84/712,265.26 = 138,006.79/x
  3. Step 3: Cross multiply
    474,942.84x = 712,265.26 × 138,006.79
  4. Step 4: Simplify right side
    474,942.84x = 98,297,442,161.12
  5. Step 5: Solve for x
    x = 98,297,442,161.12/474,942.84
  6. Step 6: Final answer
    x = 206,966.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.