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Finding the Fourth Proportional to 491,443.84, 678,214.32 and 276,597.82

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Solution

The fourth proportional to 491,443.84, 678,214.32 and 276,597.82 is: 381,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,443.84 : 678,214.32 = 276,597.82 : x
  2. Step 2: Convert to fraction form
    491,443.84/678,214.32 = 276,597.82/x
  3. Step 3: Cross multiply
    491,443.84x = 678,214.32 × 276,597.82
  4. Step 4: Simplify right side
    491,443.84x = 187,592,599,013.71
  5. Step 5: Solve for x
    x = 187,592,599,013.71/491,443.84
  6. Step 6: Final answer
    x = 381,717.27

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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.