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Finding the Fourth Proportional to 507,151.63, 699,891.12 and 280,797.13

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Solution

The fourth proportional to 507,151.63, 699,891.12 and 280,797.13 is: 387,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,151.63 : 699,891.12 = 280,797.13 : x
  2. Step 2: Convert to fraction form
    507,151.63/699,891.12 = 280,797.13/x
  3. Step 3: Cross multiply
    507,151.63x = 699,891.12 × 280,797.13
  4. Step 4: Simplify right side
    507,151.63x = 196,527,412,905.04
  5. Step 5: Solve for x
    x = 196,527,412,905.04/507,151.63
  6. Step 6: Final answer
    x = 387,512.14

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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.