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Finding the Fourth Proportional to 383,434.86, 529,143.81 and 211,359.47

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Solution

The fourth proportional to 383,434.86, 529,143.81 and 211,359.47 is: 291,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,434.86 : 529,143.81 = 211,359.47 : x
  2. Step 2: Convert to fraction form
    383,434.86/529,143.81 = 211,359.47/x
  3. Step 3: Cross multiply
    383,434.86x = 529,143.81 × 211,359.47
  4. Step 4: Simplify right side
    383,434.86x = 111,839,551,797.06
  5. Step 5: Solve for x
    x = 111,839,551,797.06/383,434.86
  6. Step 6: Final answer
    x = 291,678.10

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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.