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Finding the Fourth Proportional to 385,102.71, 531,400.83 and 212,993.34

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Solution

The fourth proportional to 385,102.71, 531,400.83 and 212,993.34 is: 293,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,102.71 : 531,400.83 = 212,993.34 : x
  2. Step 2: Convert to fraction form
    385,102.71/531,400.83 = 212,993.34/x
  3. Step 3: Cross multiply
    385,102.71x = 531,400.83 × 212,993.34
  4. Step 4: Simplify right side
    385,102.71x = 113,184,837,660.47
  5. Step 5: Solve for x
    x = 113,184,837,660.47/385,102.71
  6. Step 6: Final answer
    x = 293,908.18

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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.