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Finding the Fourth Proportional to 313,590.47, 470,314.83 and 145,018.49

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Solution

The fourth proportional to 313,590.47, 470,314.83 and 145,018.49 is: 217,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,590.47 : 470,314.83 = 145,018.49 : x
  2. Step 2: Convert to fraction form
    313,590.47/470,314.83 = 145,018.49/x
  3. Step 3: Cross multiply
    313,590.47x = 470,314.83 × 145,018.49
  4. Step 4: Simplify right side
    313,590.47x = 68,204,346,471.21
  5. Step 5: Solve for x
    x = 68,204,346,471.21/313,590.47
  6. Step 6: Final answer
    x = 217,494.96

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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.