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Finding the Fourth Proportional to 489,974.94, 676,148.31 and 299,307.42

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Solution

The fourth proportional to 489,974.94, 676,148.31 and 299,307.42 is: 413,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,974.94 : 676,148.31 = 299,307.42 : x
  2. Step 2: Convert to fraction form
    489,974.94/676,148.31 = 299,307.42/x
  3. Step 3: Cross multiply
    489,974.94x = 676,148.31 × 299,307.42
  4. Step 4: Simplify right side
    489,974.94x = 202,376,206,203.46
  5. Step 5: Solve for x
    x = 202,376,206,203.46/489,974.94
  6. Step 6: Final answer
    x = 413,033.79

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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.