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Finding the Fourth Proportional to 407,967.94, 611,807.09 and 119,699.12

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Solution

The fourth proportional to 407,967.94, 611,807.09 and 119,699.12 is: 179,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,967.94 : 611,807.09 = 119,699.12 : x
  2. Step 2: Convert to fraction form
    407,967.94/611,807.09 = 119,699.12/x
  3. Step 3: Cross multiply
    407,967.94x = 611,807.09 × 119,699.12
  4. Step 4: Simplify right side
    407,967.94x = 73,232,769,684.27
  5. Step 5: Solve for x
    x = 73,232,769,684.27/407,967.94
  6. Step 6: Final answer
    x = 179,506.19

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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.