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Finding the Fourth Proportional to 784,284, 1,176,600.96 and 285,648

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Solution

The fourth proportional to 784,284, 1,176,600.96 and 285,648 is: 428,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,284 : 1,176,600.96 = 285,648 : x
  2. Step 2: Convert to fraction form
    784,284/1,176,600.96 = 285,648/x
  3. Step 3: Cross multiply
    784,284x = 1,176,600.96 × 285,648
  4. Step 4: Simplify right side
    784,284x = 336,093,711,022.08
  5. Step 5: Solve for x
    x = 336,093,711,022.08/784,284
  6. Step 6: Final answer
    x = 428,535.72

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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.