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Finding the Fourth Proportional to 380,479.32, 570,743.56 and 127,749.60

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Solution

The fourth proportional to 380,479.32, 570,743.56 and 127,749.60 is: 191,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,479.32 : 570,743.56 = 127,749.60 : x
  2. Step 2: Convert to fraction form
    380,479.32/570,743.56 = 127,749.60/x
  3. Step 3: Cross multiply
    380,479.32x = 570,743.56 × 127,749.60
  4. Step 4: Simplify right side
    380,479.32x = 72,912,261,492.58
  5. Step 5: Solve for x
    x = 72,912,261,492.58/380,479.32
  6. Step 6: Final answer
    x = 191,632.65

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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.