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Finding the Fourth Proportional to 1,416,531.74, 1,954,764.15 and 771,938.78

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Solution

The fourth proportional to 1,416,531.74, 1,954,764.15 and 771,938.78 is: 1,065,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,531.74 : 1,954,764.15 = 771,938.78 : x
  2. Step 2: Convert to fraction form
    1,416,531.74/1,954,764.15 = 771,938.78/x
  3. Step 3: Cross multiply
    1,416,531.74x = 1,954,764.15 × 771,938.78
  4. Step 4: Simplify right side
    1,416,531.74x = 1,508,958,253,138.74
  5. Step 5: Solve for x
    x = 1,508,958,253,138.74/1,416,531.74
  6. Step 6: Final answer
    x = 1,065,248.46

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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.