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Finding the Fourth Proportional to 380,543.12, 570,769.32 and 100,082.24

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Solution

The fourth proportional to 380,543.12, 570,769.32 and 100,082.24 is: 150,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,543.12 : 570,769.32 = 100,082.24 : x
  2. Step 2: Convert to fraction form
    380,543.12/570,769.32 = 100,082.24/x
  3. Step 3: Cross multiply
    380,543.12x = 570,769.32 × 100,082.24
  4. Step 4: Simplify right side
    380,543.12x = 57,123,872,068.88
  5. Step 5: Solve for x
    x = 57,123,872,068.88/380,543.12
  6. Step 6: Final answer
    x = 150,111.43

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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.