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Finding the Fourth Proportional to 381,712.40, 572,107.80 and 194,627.60

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Solution

The fourth proportional to 381,712.40, 572,107.80 and 194,627.60 is: 291,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,712.40 : 572,107.80 = 194,627.60 : x
  2. Step 2: Convert to fraction form
    381,712.40/572,107.80 = 194,627.60/x
  3. Step 3: Cross multiply
    381,712.40x = 572,107.80 × 194,627.60
  4. Step 4: Simplify right side
    381,712.40x = 111,347,968,055.28
  5. Step 5: Solve for x
    x = 111,347,968,055.28/381,712.40
  6. Step 6: Final answer
    x = 291,706.45

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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.