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Finding the Fourth Proportional to 655,006.95, 982,178.10 and 299,716.47

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Solution

The fourth proportional to 655,006.95, 982,178.10 and 299,716.47 is: 449,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,006.95 : 982,178.10 = 299,716.47 : x
  2. Step 2: Convert to fraction form
    655,006.95/982,178.10 = 299,716.47/x
  3. Step 3: Cross multiply
    655,006.95x = 982,178.10 × 299,716.47
  4. Step 4: Simplify right side
    655,006.95x = 294,374,953,043.31
  5. Step 5: Solve for x
    x = 294,374,953,043.31/655,006.95
  6. Step 6: Final answer
    x = 449,422.64

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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.