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Finding the Fourth Proportional to 971,201.14, 1,340,708.84 and 691,978.34

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Solution

The fourth proportional to 971,201.14, 1,340,708.84 and 691,978.34 is: 955,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,201.14 : 1,340,708.84 = 691,978.34 : x
  2. Step 2: Convert to fraction form
    971,201.14/1,340,708.84 = 691,978.34/x
  3. Step 3: Cross multiply
    971,201.14x = 1,340,708.84 × 691,978.34
  4. Step 4: Simplify right side
    971,201.14x = 927,741,477,526.53
  5. Step 5: Solve for x
    x = 927,741,477,526.53/971,201.14
  6. Step 6: Final answer
    x = 955,251.64

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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.