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Finding the Fourth Proportional to 489,975.94, 676,149.69 and 299,308.42

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Solution

The fourth proportional to 489,975.94, 676,149.69 and 299,308.42 is: 413,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,975.94 : 676,149.69 = 299,308.42 : x
  2. Step 2: Convert to fraction form
    489,975.94/676,149.69 = 299,308.42/x
  3. Step 3: Cross multiply
    489,975.94x = 676,149.69 × 299,308.42
  4. Step 4: Simplify right side
    489,975.94x = 202,377,295,397.39
  5. Step 5: Solve for x
    x = 202,377,295,397.39/489,975.94
  6. Step 6: Final answer
    x = 413,035.17

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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.