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Finding the Fourth Proportional to 380,096.40, 570,010.20 and 130,720.40

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Solution

The fourth proportional to 380,096.40, 570,010.20 and 130,720.40 is: 196,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,096.40 : 570,010.20 = 130,720.40 : x
  2. Step 2: Convert to fraction form
    380,096.40/570,010.20 = 130,720.40/x
  3. Step 3: Cross multiply
    380,096.40x = 570,010.20 × 130,720.40
  4. Step 4: Simplify right side
    380,096.40x = 74,511,961,348.08
  5. Step 5: Solve for x
    x = 74,511,961,348.08/380,096.40
  6. Step 6: Final answer
    x = 196,034.38

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1.5x scale

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.