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Finding the Fourth Proportional to 407,976.32, 611,964.36 and 127,493.57

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Solution

The fourth proportional to 407,976.32, 611,964.36 and 127,493.57 is: 191,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,976.32 : 611,964.36 = 127,493.57 : x
  2. Step 2: Convert to fraction form
    407,976.32/611,964.36 = 127,493.57/x
  3. Step 3: Cross multiply
    407,976.32x = 611,964.36 × 127,493.57
  4. Step 4: Simplify right side
    407,976.32x = 78,021,517,909.34
  5. Step 5: Solve for x
    x = 78,021,517,909.34/407,976.32
  6. Step 6: Final answer
    x = 191,240.31

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1.5x scale

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.