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Finding the Fourth Proportional to 385,098.99, 531,395.72 and 212,989.61

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Solution

The fourth proportional to 385,098.99, 531,395.72 and 212,989.61 is: 293,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,098.99 : 531,395.72 = 212,989.61 : x
  2. Step 2: Convert to fraction form
    385,098.99/531,395.72 = 212,989.61/x
  3. Step 3: Cross multiply
    385,098.99x = 531,395.72 × 212,989.61
  4. Step 4: Simplify right side
    385,098.99x = 113,181,763,436.54
  5. Step 5: Solve for x
    x = 113,181,763,436.54/385,098.99
  6. Step 6: Final answer
    x = 293,903.04

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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.