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Finding the Fourth Proportional to 491,671.36, 678,529.44 and 298,085.12

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Solution

The fourth proportional to 491,671.36, 678,529.44 and 298,085.12 is: 411,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,671.36 : 678,529.44 = 298,085.12 : x
  2. Step 2: Convert to fraction form
    491,671.36/678,529.44 = 298,085.12/x
  3. Step 3: Cross multiply
    491,671.36x = 678,529.44 × 298,085.12
  4. Step 4: Simplify right side
    491,671.36x = 202,259,529,545.93
  5. Step 5: Solve for x
    x = 202,259,529,545.93/491,671.36
  6. Step 6: Final answer
    x = 411,371.39

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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.