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Finding the Fourth Proportional to 380,873.48, 571,384.96 and 140,989.48

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Solution

The fourth proportional to 380,873.48, 571,384.96 and 140,989.48 is: 211,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,873.48 : 571,384.96 = 140,989.48 : x
  2. Step 2: Convert to fraction form
    380,873.48/571,384.96 = 140,989.48/x
  3. Step 3: Cross multiply
    380,873.48x = 571,384.96 × 140,989.48
  4. Step 4: Simplify right side
    380,873.48x = 80,559,268,390.22
  5. Step 5: Solve for x
    x = 80,559,268,390.22/380,873.48
  6. Step 6: Final answer
    x = 211,511.89

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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.