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Finding the Fourth Proportional to 509,631, 703,291.24 and 280,192.20

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Solution

The fourth proportional to 509,631, 703,291.24 and 280,192.20 is: 386,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,631 : 703,291.24 = 280,192.20 : x
  2. Step 2: Convert to fraction form
    509,631/703,291.24 = 280,192.20/x
  3. Step 3: Cross multiply
    509,631x = 703,291.24 × 280,192.20
  4. Step 4: Simplify right side
    509,631x = 197,056,719,776.33
  5. Step 5: Solve for x
    x = 197,056,719,776.33/509,631
  6. Step 6: Final answer
    x = 386,665.49

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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.