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Finding the Fourth Proportional to 384,911.87, 531,168.93 and 212,825.30

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Solution

The fourth proportional to 384,911.87, 531,168.93 and 212,825.30 is: 293,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,911.87 : 531,168.93 = 212,825.30 : x
  2. Step 2: Convert to fraction form
    384,911.87/531,168.93 = 212,825.30/x
  3. Step 3: Cross multiply
    384,911.87x = 531,168.93 × 212,825.30
  4. Step 4: Simplify right side
    384,911.87x = 113,046,186,877.93
  5. Step 5: Solve for x
    x = 113,046,186,877.93/384,911.87
  6. Step 6: Final answer
    x = 293,693.69

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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.