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Finding the Fourth Proportional to 536,784.82, 741,016.68 and 340,649.90

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Solution

The fourth proportional to 536,784.82, 741,016.68 and 340,649.90 is: 470,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,784.82 : 741,016.68 = 340,649.90 : x
  2. Step 2: Convert to fraction form
    536,784.82/741,016.68 = 340,649.90/x
  3. Step 3: Cross multiply
    536,784.82x = 741,016.68 × 340,649.90
  4. Step 4: Simplify right side
    536,784.82x = 252,427,254,235.25
  5. Step 5: Solve for x
    x = 252,427,254,235.25/536,784.82
  6. Step 6: Final answer
    x = 470,257.81

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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.