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Finding the Fourth Proportional to 340,642.21, 470,067.40 and 187,650.32

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Solution

The fourth proportional to 340,642.21, 470,067.40 and 187,650.32 is: 258,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,642.21 : 470,067.40 = 187,650.32 : x
  2. Step 2: Convert to fraction form
    340,642.21/470,067.40 = 187,650.32/x
  3. Step 3: Cross multiply
    340,642.21x = 470,067.40 × 187,650.32
  4. Step 4: Simplify right side
    340,642.21x = 88,208,298,559.92
  5. Step 5: Solve for x
    x = 88,208,298,559.92/340,642.21
  6. Step 6: Final answer
    x = 258,947.06

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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.