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Finding the Fourth Proportional to 617,927, 926,896.18 and 243,950

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Solution

The fourth proportional to 617,927, 926,896.18 and 243,950 is: 365,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,927 : 926,896.18 = 243,950 : x
  2. Step 2: Convert to fraction form
    617,927/926,896.18 = 243,950/x
  3. Step 3: Cross multiply
    617,927x = 926,896.18 × 243,950
  4. Step 4: Simplify right side
    617,927x = 226,116,323,111
  5. Step 5: Solve for x
    x = 226,116,323,111/617,927
  6. Step 6: Final answer
    x = 365,927.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.