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Finding the Fourth Proportional to 489,073.50, 733,675.86 and 208,656.36

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Solution

The fourth proportional to 489,073.50, 733,675.86 and 208,656.36 is: 313,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,073.50 : 733,675.86 = 208,656.36 : x
  2. Step 2: Convert to fraction form
    489,073.50/733,675.86 = 208,656.36/x
  3. Step 3: Cross multiply
    489,073.50x = 733,675.86 × 208,656.36
  4. Step 4: Simplify right side
    489,073.50x = 153,086,134,367.47
  5. Step 5: Solve for x
    x = 153,086,134,367.47/489,073.50
  6. Step 6: Final answer
    x = 313,012.53

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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.