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Finding the Fourth Proportional to 266,362.27, 399,540.66 and 153,970.98

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Solution

The fourth proportional to 266,362.27, 399,540.66 and 153,970.98 is: 230,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,362.27 : 399,540.66 = 153,970.98 : x
  2. Step 2: Convert to fraction form
    266,362.27/399,540.66 = 153,970.98/x
  3. Step 3: Cross multiply
    266,362.27x = 399,540.66 × 153,970.98
  4. Step 4: Simplify right side
    266,362.27x = 61,517,666,970.05
  5. Step 5: Solve for x
    x = 61,517,666,970.05/266,362.27
  6. Step 6: Final answer
    x = 230,954.88

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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.