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Finding the Fourth Proportional to 414,774.64, 621,528.09 and 279,337.87

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Solution

The fourth proportional to 414,774.64, 621,528.09 and 279,337.87 is: 418,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,774.64 : 621,528.09 = 279,337.87 : x
  2. Step 2: Convert to fraction form
    414,774.64/621,528.09 = 279,337.87/x
  3. Step 3: Cross multiply
    414,774.64x = 621,528.09 × 279,337.87
  4. Step 4: Simplify right side
    414,774.64x = 173,616,332,805.77
  5. Step 5: Solve for x
    x = 173,616,332,805.77/414,774.64
  6. Step 6: Final answer
    x = 418,579.91

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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.