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Finding the Fourth Proportional to 380,685.06, 570,972.84 and 100,202.28

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Solution

The fourth proportional to 380,685.06, 570,972.84 and 100,202.28 is: 150,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,685.06 : 570,972.84 = 100,202.28 : x
  2. Step 2: Convert to fraction form
    380,685.06/570,972.84 = 100,202.28/x
  3. Step 3: Cross multiply
    380,685.06x = 570,972.84 × 100,202.28
  4. Step 4: Simplify right side
    380,685.06x = 57,212,780,386.08
  5. Step 5: Solve for x
    x = 57,212,780,386.08/380,685.06
  6. Step 6: Final answer
    x = 150,289.01

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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.