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Finding the Fourth Proportional to 489,015.80, 733,523.70 and 208,561.40

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Solution

The fourth proportional to 489,015.80, 733,523.70 and 208,561.40 is: 312,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,015.80 : 733,523.70 = 208,561.40 : x
  2. Step 2: Convert to fraction form
    489,015.80/733,523.70 = 208,561.40/x
  3. Step 3: Cross multiply
    489,015.80x = 733,523.70 × 208,561.40
  4. Step 4: Simplify right side
    489,015.80x = 152,984,729,805.18
  5. Step 5: Solve for x
    x = 152,984,729,805.18/489,015.80
  6. Step 6: Final answer
    x = 312,842.10

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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.