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Finding the Fourth Proportional to 254,189.16, 380,925.34 and 140,388.28

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Solution

The fourth proportional to 254,189.16, 380,925.34 and 140,388.28 is: 210,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,189.16 : 380,925.34 = 140,388.28 : x
  2. Step 2: Convert to fraction form
    254,189.16/380,925.34 = 140,388.28/x
  3. Step 3: Cross multiply
    254,189.16x = 380,925.34 × 140,388.28
  4. Step 4: Simplify right side
    254,189.16x = 53,477,451,987.73
  5. Step 5: Solve for x
    x = 53,477,451,987.73/254,189.16
  6. Step 6: Final answer
    x = 210,384.47

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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.