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Finding the Fourth Proportional to 254,147.76, 380,973.78 and 120,992.27

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Solution

The fourth proportional to 254,147.76, 380,973.78 and 120,992.27 is: 181,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,147.76 : 380,973.78 = 120,992.27 : x
  2. Step 2: Convert to fraction form
    254,147.76/380,973.78 = 120,992.27/x
  3. Step 3: Cross multiply
    254,147.76x = 380,973.78 × 120,992.27
  4. Step 4: Simplify right side
    254,147.76x = 46,094,880,547.81
  5. Step 5: Solve for x
    x = 46,094,880,547.81/254,147.76
  6. Step 6: Final answer
    x = 181,370.40

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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.