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Finding the Fourth Proportional to 298,961.34, 448,442.01 and 205,182.78

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Solution

The fourth proportional to 298,961.34, 448,442.01 and 205,182.78 is: 307,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.34 : 448,442.01 = 205,182.78 : x
  2. Step 2: Convert to fraction form
    298,961.34/448,442.01 = 205,182.78/x
  3. Step 3: Cross multiply
    298,961.34x = 448,442.01 × 205,182.78
  4. Step 4: Simplify right side
    298,961.34x = 92,012,578,280.59
  5. Step 5: Solve for x
    x = 92,012,578,280.59/298,961.34
  6. Step 6: Final answer
    x = 307,774.17

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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.