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Finding the Fourth Proportional to 293,482.08, 405,177.12 and 212,832

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Solution

The fourth proportional to 293,482.08, 405,177.12 and 212,832 is: 293,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,482.08 : 405,177.12 = 212,832 : x
  2. Step 2: Convert to fraction form
    293,482.08/405,177.12 = 212,832/x
  3. Step 3: Cross multiply
    293,482.08x = 405,177.12 × 212,832
  4. Step 4: Simplify right side
    293,482.08x = 86,234,656,803.84
  5. Step 5: Solve for x
    x = 86,234,656,803.84/293,482.08
  6. Step 6: Final answer
    x = 293,832.78

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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.