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Finding the Fourth Proportional to 506,997.62, 699,656.72 and 280,643.12

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Solution

The fourth proportional to 506,997.62, 699,656.72 and 280,643.12 is: 387,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,997.62 : 699,656.72 = 280,643.12 : x
  2. Step 2: Convert to fraction form
    506,997.62/699,656.72 = 280,643.12/x
  3. Step 3: Cross multiply
    506,997.62x = 699,656.72 × 280,643.12
  4. Step 4: Simplify right side
    506,997.62x = 196,353,839,928.27
  5. Step 5: Solve for x
    x = 196,353,839,928.27/506,997.62
  6. Step 6: Final answer
    x = 387,287.50

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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.