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Finding the Fourth Proportional to 666,505, 919,776.90 and 364,699

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Solution

The fourth proportional to 666,505, 919,776.90 and 364,699 is: 503,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,505 : 919,776.90 = 364,699 : x
  2. Step 2: Convert to fraction form
    666,505/919,776.90 = 364,699/x
  3. Step 3: Cross multiply
    666,505x = 919,776.90 × 364,699
  4. Step 4: Simplify right side
    666,505x = 335,441,715,653.10
  5. Step 5: Solve for x
    x = 335,441,715,653.10/666,505
  6. Step 6: Final answer
    x = 503,284.62

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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.