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Finding the Fourth Proportional to 380,477.36, 570,753.80 and 140,654.10

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Solution

The fourth proportional to 380,477.36, 570,753.80 and 140,654.10 is: 210,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,477.36 : 570,753.80 = 140,654.10 : x
  2. Step 2: Convert to fraction form
    380,477.36/570,753.80 = 140,654.10/x
  3. Step 3: Cross multiply
    380,477.36x = 570,753.80 × 140,654.10
  4. Step 4: Simplify right side
    380,477.36x = 80,278,861,357.31
  5. Step 5: Solve for x
    x = 80,278,861,357.31/380,477.36
  6. Step 6: Final answer
    x = 210,995.11

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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.