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Finding the Fourth Proportional to 407,967.30, 611,806.16 and 119,698.49

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Solution

The fourth proportional to 407,967.30, 611,806.16 and 119,698.49 is: 179,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,967.30 : 611,806.16 = 119,698.49 : x
  2. Step 2: Convert to fraction form
    407,967.30/611,806.16 = 119,698.49/x
  3. Step 3: Cross multiply
    407,967.30x = 611,806.16 × 119,698.49
  4. Step 4: Simplify right side
    407,967.30x = 73,232,269,867.18
  5. Step 5: Solve for x
    x = 73,232,269,867.18/407,967.30
  6. Step 6: Final answer
    x = 179,505.24

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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.