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Finding the Fourth Proportional to 1,380,787.98, 1,905,434.26 and 768,966.53

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Solution

The fourth proportional to 1,380,787.98, 1,905,434.26 and 768,966.53 is: 1,061,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,787.98 : 1,905,434.26 = 768,966.53 : x
  2. Step 2: Convert to fraction form
    1,380,787.98/1,905,434.26 = 768,966.53/x
  3. Step 3: Cross multiply
    1,380,787.98x = 1,905,434.26 × 768,966.53
  4. Step 4: Simplify right side
    1,380,787.98x = 1,465,215,159,605.73
  5. Step 5: Solve for x
    x = 1,465,215,159,605.73/1,380,787.98
  6. Step 6: Final answer
    x = 1,061,144.21

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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.