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Finding the Fourth Proportional to 386,404.83, 533,240.53 and 214,310.81

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Solution

The fourth proportional to 386,404.83, 533,240.53 and 214,310.81 is: 295,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,404.83 : 533,240.53 = 214,310.81 : x
  2. Step 2: Convert to fraction form
    386,404.83/533,240.53 = 214,310.81/x
  3. Step 3: Cross multiply
    386,404.83x = 533,240.53 × 214,310.81
  4. Step 4: Simplify right side
    386,404.83x = 114,279,210,706.45
  5. Step 5: Solve for x
    x = 114,279,210,706.45/386,404.83
  6. Step 6: Final answer
    x = 295,749.95

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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.