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Finding the Fourth Proportional to 313,958.90, 470,345.73 and 185,491.86

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Solution

The fourth proportional to 313,958.90, 470,345.73 and 185,491.86 is: 277,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,958.90 : 470,345.73 = 185,491.86 : x
  2. Step 2: Convert to fraction form
    313,958.90/470,345.73 = 185,491.86/x
  3. Step 3: Cross multiply
    313,958.90x = 470,345.73 × 185,491.86
  4. Step 4: Simplify right side
    313,958.90x = 87,245,304,300.76
  5. Step 5: Solve for x
    x = 87,245,304,300.76/313,958.90
  6. Step 6: Final answer
    x = 277,887.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.