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Finding the Fourth Proportional to 380,668.32, 570,506.40 and 212,181.84

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Solution

The fourth proportional to 380,668.32, 570,506.40 and 212,181.84 is: 317,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,668.32 : 570,506.40 = 212,181.84 : x
  2. Step 2: Convert to fraction form
    380,668.32/570,506.40 = 212,181.84/x
  3. Step 3: Cross multiply
    380,668.32x = 570,506.40 × 212,181.84
  4. Step 4: Simplify right side
    380,668.32x = 121,051,097,683.78
  5. Step 5: Solve for x
    x = 121,051,097,683.78/380,668.32
  6. Step 6: Final answer
    x = 317,996.25

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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.