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Finding the Fourth Proportional to 546,581.64, 820,121.56 and 280,528.98

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Solution

The fourth proportional to 546,581.64, 820,121.56 and 280,528.98 is: 420,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,581.64 : 820,121.56 = 280,528.98 : x
  2. Step 2: Convert to fraction form
    546,581.64/820,121.56 = 280,528.98/x
  3. Step 3: Cross multiply
    546,581.64x = 820,121.56 × 280,528.98
  4. Step 4: Simplify right side
    546,581.64x = 230,067,864,702.81
  5. Step 5: Solve for x
    x = 230,067,864,702.81/546,581.64
  6. Step 6: Final answer
    x = 420,921.32

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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.