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Finding the Fourth Proportional to 665,842, 918,861.96 and 364,036

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Solution

The fourth proportional to 665,842, 918,861.96 and 364,036 is: 502,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,842 : 918,861.96 = 364,036 : x
  2. Step 2: Convert to fraction form
    665,842/918,861.96 = 364,036/x
  3. Step 3: Cross multiply
    665,842x = 918,861.96 × 364,036
  4. Step 4: Simplify right side
    665,842x = 334,498,832,470.56
  5. Step 5: Solve for x
    x = 334,498,832,470.56/665,842
  6. Step 6: Final answer
    x = 502,369.68

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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.