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Finding the Fourth Proportional to 1,407,748.74, 1,942,708.55 and 826,996.34

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Solution

The fourth proportional to 1,407,748.74, 1,942,708.55 and 826,996.34 is: 1,141,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,748.74 : 1,942,708.55 = 826,996.34 : x
  2. Step 2: Convert to fraction form
    1,407,748.74/1,942,708.55 = 826,996.34/x
  3. Step 3: Cross multiply
    1,407,748.74x = 1,942,708.55 × 826,996.34
  4. Step 4: Simplify right side
    1,407,748.74x = 1,606,612,867,460.97
  5. Step 5: Solve for x
    x = 1,606,612,867,460.97/1,407,748.74
  6. Step 6: Final answer
    x = 1,141,263.94

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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.