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Finding the Fourth Proportional to 546,580.64, 820,120.06 and 280,527.98

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Solution

The fourth proportional to 546,580.64, 820,120.06 and 280,527.98 is: 420,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,580.64 : 820,120.06 = 280,527.98 : x
  2. Step 2: Convert to fraction form
    546,580.64/820,120.06 = 280,527.98/x
  3. Step 3: Cross multiply
    546,580.64x = 820,120.06 × 280,527.98
  4. Step 4: Simplify right side
    546,580.64x = 230,066,623,789.28
  5. Step 5: Solve for x
    x = 230,066,623,789.28/546,580.64
  6. Step 6: Final answer
    x = 420,919.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.