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Finding the Fourth Proportional to 585,315.45, 878,137.20 and 285,805.80

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Solution

The fourth proportional to 585,315.45, 878,137.20 and 285,805.80 is: 428,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,315.45 : 878,137.20 = 285,805.80 : x
  2. Step 2: Convert to fraction form
    585,315.45/878,137.20 = 285,805.80/x
  3. Step 3: Cross multiply
    585,315.45x = 878,137.20 × 285,805.80
  4. Step 4: Simplify right side
    585,315.45x = 250,976,704,955.76
  5. Step 5: Solve for x
    x = 250,976,704,955.76/585,315.45
  6. Step 6: Final answer
    x = 428,788.79

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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.