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Finding the Fourth Proportional to 509,796.18, 703,500.32 and 280,351.53

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Solution

The fourth proportional to 509,796.18, 703,500.32 and 280,351.53 is: 386,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,796.18 : 703,500.32 = 280,351.53 : x
  2. Step 2: Convert to fraction form
    509,796.18/703,500.32 = 280,351.53/x
  3. Step 3: Cross multiply
    509,796.18x = 703,500.32 × 280,351.53
  4. Step 4: Simplify right side
    509,796.18x = 197,227,391,768.37
  5. Step 5: Solve for x
    x = 197,227,391,768.37/509,796.18
  6. Step 6: Final answer
    x = 386,874.99

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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.