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Finding the Fourth Proportional to 667,243.37, 921,020.42 and 405,597.78

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Solution

The fourth proportional to 667,243.37, 921,020.42 and 405,597.78 is: 559,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,243.37 : 921,020.42 = 405,597.78 : x
  2. Step 2: Convert to fraction form
    667,243.37/921,020.42 = 405,597.78/x
  3. Step 3: Cross multiply
    667,243.37x = 921,020.42 × 405,597.78
  4. Step 4: Simplify right side
    667,243.37x = 373,563,838,700.66
  5. Step 5: Solve for x
    x = 373,563,838,700.66/667,243.37
  6. Step 6: Final answer
    x = 559,861.45

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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.