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Finding the Fourth Proportional to 407,456.40, 611,183.16 and 126,973.84

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Solution

The fourth proportional to 407,456.40, 611,183.16 and 126,973.84 is: 190,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,456.40 : 611,183.16 = 126,973.84 : x
  2. Step 2: Convert to fraction form
    407,456.40/611,183.16 = 126,973.84/x
  3. Step 3: Cross multiply
    407,456.40x = 611,183.16 × 126,973.84
  4. Step 4: Simplify right side
    407,456.40x = 77,604,272,768.53
  5. Step 5: Solve for x
    x = 77,604,272,768.53/407,456.40
  6. Step 6: Final answer
    x = 190,460.31

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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.