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Finding the Fourth Proportional to 385,046.64, 531,355.06 and 212,960.12

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Solution

The fourth proportional to 385,046.64, 531,355.06 and 212,960.12 is: 293,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,046.64 : 531,355.06 = 212,960.12 : x
  2. Step 2: Convert to fraction form
    385,046.64/531,355.06 = 212,960.12/x
  3. Step 3: Cross multiply
    385,046.64x = 531,355.06 × 212,960.12
  4. Step 4: Simplify right side
    385,046.64x = 113,157,437,340.21
  5. Step 5: Solve for x
    x = 113,157,437,340.21/385,046.64
  6. Step 6: Final answer
    x = 293,879.82

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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.