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Finding the Fourth Proportional to 491,206.01, 677,863.28 and 276,346.32

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Solution

The fourth proportional to 491,206.01, 677,863.28 and 276,346.32 is: 381,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,206.01 : 677,863.28 = 276,346.32 : x
  2. Step 2: Convert to fraction form
    491,206.01/677,863.28 = 276,346.32/x
  3. Step 3: Cross multiply
    491,206.01x = 677,863.28 × 276,346.32
  4. Step 4: Simplify right side
    491,206.01x = 187,325,021,509.40
  5. Step 5: Solve for x
    x = 187,325,021,509.40/491,206.01
  6. Step 6: Final answer
    x = 381,357.35

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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.