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Finding the Fourth Proportional to 254,191.41, 380,928.71 and 140,390.53

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Solution

The fourth proportional to 254,191.41, 380,928.71 and 140,390.53 is: 210,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,191.41 : 380,928.71 = 140,390.53 : x
  2. Step 2: Convert to fraction form
    254,191.41/380,928.71 = 140,390.53/x
  3. Step 3: Cross multiply
    254,191.41x = 380,928.71 × 140,390.53
  4. Step 4: Simplify right side
    254,191.41x = 53,478,782,887.77
  5. Step 5: Solve for x
    x = 53,478,782,887.77/254,191.41
  6. Step 6: Final answer
    x = 210,387.84

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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.