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Finding the Fourth Proportional to 1,469,960, 2,204,940 and 472,688

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Solution

The fourth proportional to 1,469,960, 2,204,940 and 472,688 is: 709,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,960 : 2,204,940 = 472,688 : x
  2. Step 2: Convert to fraction form
    1,469,960/2,204,940 = 472,688/x
  3. Step 3: Cross multiply
    1,469,960x = 2,204,940 × 472,688
  4. Step 4: Simplify right side
    1,469,960x = 1,042,248,678,720
  5. Step 5: Solve for x
    x = 1,042,248,678,720/1,469,960
  6. Step 6: Final answer
    x = 709,032

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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.