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Finding the Fourth Proportional to 219,361.40, 329,042.10 and 194,429.60

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Solution

The fourth proportional to 219,361.40, 329,042.10 and 194,429.60 is: 291,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,361.40 : 329,042.10 = 194,429.60 : x
  2. Step 2: Convert to fraction form
    219,361.40/329,042.10 = 194,429.60/x
  3. Step 3: Cross multiply
    219,361.40x = 329,042.10 × 194,429.60
  4. Step 4: Simplify right side
    219,361.40x = 63,975,523,886.16
  5. Step 5: Solve for x
    x = 63,975,523,886.16/219,361.40
  6. Step 6: Final answer
    x = 291,644.40

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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.