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Finding the Fourth Proportional to 489,035.34, 674,868.78 and 274,175.82

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Solution

The fourth proportional to 489,035.34, 674,868.78 and 274,175.82 is: 378,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,035.34 : 674,868.78 = 274,175.82 : x
  2. Step 2: Convert to fraction form
    489,035.34/674,868.78 = 274,175.82/x
  3. Step 3: Cross multiply
    489,035.34x = 674,868.78 × 274,175.82
  4. Step 4: Simplify right side
    489,035.34x = 185,032,701,148.90
  5. Step 5: Solve for x
    x = 185,032,701,148.90/489,035.34
  6. Step 6: Final answer
    x = 378,362.64

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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.