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Finding the Fourth Proportional to 340,676.24, 470,127.12 and 189,770

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Solution

The fourth proportional to 340,676.24, 470,127.12 and 189,770 is: 261,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,676.24 : 470,127.12 = 189,770 : x
  2. Step 2: Convert to fraction form
    340,676.24/470,127.12 = 189,770/x
  3. Step 3: Cross multiply
    340,676.24x = 470,127.12 × 189,770
  4. Step 4: Simplify right side
    340,676.24x = 89,216,023,562.40
  5. Step 5: Solve for x
    x = 89,216,023,562.40/340,676.24
  6. Step 6: Final answer
    x = 261,879.21

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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.