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Finding the Fourth Proportional to 380,400.08, 570,617.64 and 211,793.47

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Solution

The fourth proportional to 380,400.08, 570,617.64 and 211,793.47 is: 317,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,400.08 : 570,617.64 = 211,793.47 : x
  2. Step 2: Convert to fraction form
    380,400.08/570,617.64 = 211,793.47/x
  3. Step 3: Cross multiply
    380,400.08x = 570,617.64 × 211,793.47
  4. Step 4: Simplify right side
    380,400.08x = 120,853,088,592.27
  5. Step 5: Solve for x
    x = 120,853,088,592.27/380,400.08
  6. Step 6: Final answer
    x = 317,699.96

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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.