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Finding the Fourth Proportional to 380,082.96, 570,182.76 and 143,420.40

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Solution

The fourth proportional to 380,082.96, 570,182.76 and 143,420.40 is: 215,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,082.96 : 570,182.76 = 143,420.40 : x
  2. Step 2: Convert to fraction form
    380,082.96/570,182.76 = 143,420.40/x
  3. Step 3: Cross multiply
    380,082.96x = 570,182.76 × 143,420.40
  4. Step 4: Simplify right side
    380,082.96x = 81,775,839,512.30
  5. Step 5: Solve for x
    x = 81,775,839,512.30/380,082.96
  6. Step 6: Final answer
    x = 215,152.61

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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.