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Finding the Fourth Proportional to 507,152.13, 699,891.80 and 280,797.63

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Solution

The fourth proportional to 507,152.13, 699,891.80 and 280,797.63 is: 387,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,152.13 : 699,891.80 = 280,797.63 : x
  2. Step 2: Convert to fraction form
    507,152.13/699,891.80 = 280,797.63/x
  3. Step 3: Cross multiply
    507,152.13x = 699,891.80 × 280,797.63
  4. Step 4: Simplify right side
    507,152.13x = 196,527,958,696.43
  5. Step 5: Solve for x
    x = 196,527,958,696.43/507,152.13
  6. Step 6: Final answer
    x = 387,512.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.