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Finding the Fourth Proportional to 1,270,650, 1,753,497 and 734,106

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Solution

The fourth proportional to 1,270,650, 1,753,497 and 734,106 is: 1,013,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,650 : 1,753,497 = 734,106 : x
  2. Step 2: Convert to fraction form
    1,270,650/1,753,497 = 734,106/x
  3. Step 3: Cross multiply
    1,270,650x = 1,753,497 × 734,106
  4. Step 4: Simplify right side
    1,270,650x = 1,287,252,668,682
  5. Step 5: Solve for x
    x = 1,287,252,668,682/1,270,650
  6. Step 6: Final answer
    x = 1,013,066.28

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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.