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Finding the Fourth Proportional to 509,580.24, 703,229.70 and 280,147.20

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Solution

The fourth proportional to 509,580.24, 703,229.70 and 280,147.20 is: 386,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,580.24 : 703,229.70 = 280,147.20 : x
  2. Step 2: Convert to fraction form
    509,580.24/703,229.70 = 280,147.20/x
  3. Step 3: Cross multiply
    509,580.24x = 703,229.70 × 280,147.20
  4. Step 4: Simplify right side
    509,580.24x = 197,007,831,411.84
  5. Step 5: Solve for x
    x = 197,007,831,411.84/509,580.24
  6. Step 6: Final answer
    x = 386,608.07

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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.