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Finding the Fourth Proportional to 399,606.31, 599,409.83 and 119,116.63

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Solution

The fourth proportional to 399,606.31, 599,409.83 and 119,116.63 is: 178,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,606.31 : 599,409.83 = 119,116.63 : x
  2. Step 2: Convert to fraction form
    399,606.31/599,409.83 = 119,116.63/x
  3. Step 3: Cross multiply
    399,606.31x = 599,409.83 × 119,116.63
  4. Step 4: Simplify right side
    399,606.31x = 71,399,678,938.47
  5. Step 5: Solve for x
    x = 71,399,678,938.47/399,606.31
  6. Step 6: Final answer
    x = 178,675.05

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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.