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Finding the Fourth Proportional to 380,328.41, 570,809.39 and 200,478.42

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Solution

The fourth proportional to 380,328.41, 570,809.39 and 200,478.42 is: 300,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,328.41 : 570,809.39 = 200,478.42 : x
  2. Step 2: Convert to fraction form
    380,328.41/570,809.39 = 200,478.42/x
  3. Step 3: Cross multiply
    380,328.41x = 570,809.39 × 200,478.42
  4. Step 4: Simplify right side
    380,328.41x = 114,434,963,430.18
  5. Step 5: Solve for x
    x = 114,434,963,430.18/380,328.41
  6. Step 6: Final answer
    x = 300,884.60

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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.