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Finding the Fourth Proportional to 377,314.05, 520,690.86 and 214,001.67

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Solution

The fourth proportional to 377,314.05, 520,690.86 and 214,001.67 is: 295,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,314.05 : 520,690.86 = 214,001.67 : x
  2. Step 2: Convert to fraction form
    377,314.05/520,690.86 = 214,001.67/x
  3. Step 3: Cross multiply
    377,314.05x = 520,690.86 × 214,001.67
  4. Step 4: Simplify right side
    377,314.05x = 111,428,713,593.74
  5. Step 5: Solve for x
    x = 111,428,713,593.74/377,314.05
  6. Step 6: Final answer
    x = 295,320.87

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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.