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Finding the Fourth Proportional to 472,473.27, 709,042.01 and 427,300.79

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Solution

The fourth proportional to 472,473.27, 709,042.01 and 427,300.79 is: 641,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,473.27 : 709,042.01 = 427,300.79 : x
  2. Step 2: Convert to fraction form
    472,473.27/709,042.01 = 427,300.79/x
  3. Step 3: Cross multiply
    472,473.27x = 709,042.01 × 427,300.79
  4. Step 4: Simplify right side
    472,473.27x = 302,974,205,334.47
  5. Step 5: Solve for x
    x = 302,974,205,334.47/472,473.27
  6. Step 6: Final answer
    x = 641,251.53

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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.