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Finding the Fourth Proportional to 489,215.40, 733,823.10 and 431,478.60

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Solution

The fourth proportional to 489,215.40, 733,823.10 and 431,478.60 is: 647,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,215.40 : 733,823.10 = 431,478.60 : x
  2. Step 2: Convert to fraction form
    489,215.40/733,823.10 = 431,478.60/x
  3. Step 3: Cross multiply
    489,215.40x = 733,823.10 × 431,478.60
  4. Step 4: Simplify right side
    489,215.40x = 316,628,963,835.66
  5. Step 5: Solve for x
    x = 316,628,963,835.66/489,215.40
  6. Step 6: Final answer
    x = 647,217.90

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Similar ratio
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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.