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Finding the Fourth Proportional to 266,362.71, 399,541.33 and 153,971.41

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Solution

The fourth proportional to 266,362.71, 399,541.33 and 153,971.41 is: 230,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,362.71 : 399,541.33 = 153,971.41 : x
  2. Step 2: Convert to fraction form
    266,362.71/399,541.33 = 153,971.41/x
  3. Step 3: Cross multiply
    266,362.71x = 399,541.33 × 153,971.41
  4. Step 4: Simplify right side
    266,362.71x = 61,517,942,711.14
  5. Step 5: Solve for x
    x = 61,517,942,711.14/266,362.71
  6. Step 6: Final answer
    x = 230,955.54

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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.