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Finding the Fourth Proportional to 380,079.70, 570,119.55 and 202,495.30

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Solution

The fourth proportional to 380,079.70, 570,119.55 and 202,495.30 is: 303,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,079.70 : 570,119.55 = 202,495.30 : x
  2. Step 2: Convert to fraction form
    380,079.70/570,119.55 = 202,495.30/x
  3. Step 3: Cross multiply
    380,079.70x = 570,119.55 × 202,495.30
  4. Step 4: Simplify right side
    380,079.70x = 115,446,529,313.12
  5. Step 5: Solve for x
    x = 115,446,529,313.12/380,079.70
  6. Step 6: Final answer
    x = 303,742.95

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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.