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Finding the Fourth Proportional to 489,969.46, 676,231.10 and 299,093.77

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Solution

The fourth proportional to 489,969.46, 676,231.10 and 299,093.77 is: 412,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,969.46 : 676,231.10 = 299,093.77 : x
  2. Step 2: Convert to fraction form
    489,969.46/676,231.10 = 299,093.77/x
  3. Step 3: Cross multiply
    489,969.46x = 676,231.10 × 299,093.77
  4. Step 4: Simplify right side
    489,969.46x = 202,256,509,090.25
  5. Step 5: Solve for x
    x = 202,256,509,090.25/489,969.46
  6. Step 6: Final answer
    x = 412,794.11

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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.