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Finding the Fourth Proportional to 489,274.20, 733,911.30 and 470,611.80

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Solution

The fourth proportional to 489,274.20, 733,911.30 and 470,611.80 is: 705,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,274.20 : 733,911.30 = 470,611.80 : x
  2. Step 2: Convert to fraction form
    489,274.20/733,911.30 = 470,611.80/x
  3. Step 3: Cross multiply
    489,274.20x = 733,911.30 × 470,611.80
  4. Step 4: Simplify right side
    489,274.20x = 345,387,317,933.34
  5. Step 5: Solve for x
    x = 345,387,317,933.34/489,274.20
  6. Step 6: Final answer
    x = 705,917.70

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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.