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Finding the Fourth Proportional to 529,846.12, 731,458.44 and 408,715.48

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Solution

The fourth proportional to 529,846.12, 731,458.44 and 408,715.48 is: 564,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,846.12 : 731,458.44 = 408,715.48 : x
  2. Step 2: Convert to fraction form
    529,846.12/731,458.44 = 408,715.48/x
  3. Step 3: Cross multiply
    529,846.12x = 731,458.44 × 408,715.48
  4. Step 4: Simplify right side
    529,846.12x = 298,958,387,404.65
  5. Step 5: Solve for x
    x = 298,958,387,404.65/529,846.12
  6. Step 6: Final answer
    x = 564,236.25

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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.