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Finding the Fourth Proportional to 380,483.37, 570,762.81 and 140,660.10

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Solution

The fourth proportional to 380,483.37, 570,762.81 and 140,660.10 is: 211,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,483.37 : 570,762.81 = 140,660.10 : x
  2. Step 2: Convert to fraction form
    380,483.37/570,762.81 = 140,660.10/x
  3. Step 3: Cross multiply
    380,483.37x = 570,762.81 × 140,660.10
  4. Step 4: Simplify right side
    380,483.37x = 80,283,553,930.88
  5. Step 5: Solve for x
    x = 80,283,553,930.88/380,483.37
  6. Step 6: Final answer
    x = 211,004.11

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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.