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Finding the Fourth Proportional to 655,676.48, 983,320.32 and 281,612

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Solution

The fourth proportional to 655,676.48, 983,320.32 and 281,612 is: 422,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,676.48 : 983,320.32 = 281,612 : x
  2. Step 2: Convert to fraction form
    655,676.48/983,320.32 = 281,612/x
  3. Step 3: Cross multiply
    655,676.48x = 983,320.32 × 281,612
  4. Step 4: Simplify right side
    655,676.48x = 276,914,801,955.84
  5. Step 5: Solve for x
    x = 276,914,801,955.84/655,676.48
  6. Step 6: Final answer
    x = 422,334.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.