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Finding the Fourth Proportional to 491,624.40, 678,506.32 and 276,806.32

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Solution

The fourth proportional to 491,624.40, 678,506.32 and 276,806.32 is: 382,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,624.40 : 678,506.32 = 276,806.32 : x
  2. Step 2: Convert to fraction form
    491,624.40/678,506.32 = 276,806.32/x
  3. Step 3: Cross multiply
    491,624.40x = 678,506.32 × 276,806.32
  4. Step 4: Simplify right side
    491,624.40x = 187,814,837,535.94
  5. Step 5: Solve for x
    x = 187,814,837,535.94/491,624.40
  6. Step 6: Final answer
    x = 382,029.12

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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.