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Finding the Fourth Proportional to 340,578.50, 470,012.92 and 189,675.50

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Solution

The fourth proportional to 340,578.50, 470,012.92 and 189,675.50 is: 261,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,578.50 : 470,012.92 = 189,675.50 : x
  2. Step 2: Convert to fraction form
    340,578.50/470,012.92 = 189,675.50/x
  3. Step 3: Cross multiply
    340,578.50x = 470,012.92 × 189,675.50
  4. Step 4: Simplify right side
    340,578.50x = 89,149,935,607.46
  5. Step 5: Solve for x
    x = 89,149,935,607.46/340,578.50
  6. Step 6: Final answer
    x = 261,760.32

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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.