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Finding the Fourth Proportional to 489,215.80, 733,823.70 and 208,761.40

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Solution

The fourth proportional to 489,215.80, 733,823.70 and 208,761.40 is: 313,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,215.80 : 733,823.70 = 208,761.40 : x
  2. Step 2: Convert to fraction form
    489,215.80/733,823.70 = 208,761.40/x
  3. Step 3: Cross multiply
    489,215.80x = 733,823.70 × 208,761.40
  4. Step 4: Simplify right side
    489,215.80x = 153,194,062,965.18
  5. Step 5: Solve for x
    x = 153,194,062,965.18/489,215.80
  6. Step 6: Final answer
    x = 313,142.10

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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.