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Finding the Fourth Proportional to 340,898.90, 470,443.75 and 187,942.69

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Solution

The fourth proportional to 340,898.90, 470,443.75 and 187,942.69 is: 259,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,898.90 : 470,443.75 = 187,942.69 : x
  2. Step 2: Convert to fraction form
    340,898.90/470,443.75 = 187,942.69/x
  3. Step 3: Cross multiply
    340,898.90x = 470,443.75 × 187,942.69
  4. Step 4: Simplify right side
    340,898.90x = 88,416,462,222.72
  5. Step 5: Solve for x
    x = 88,416,462,222.72/340,898.90
  6. Step 6: Final answer
    x = 259,362.71

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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.