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Finding the Fourth Proportional to 381,830.40, 572,745.60 and 319,622.40

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Solution

The fourth proportional to 381,830.40, 572,745.60 and 319,622.40 is: 479,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,830.40 : 572,745.60 = 319,622.40 : x
  2. Step 2: Convert to fraction form
    381,830.40/572,745.60 = 319,622.40/x
  3. Step 3: Cross multiply
    381,830.40x = 572,745.60 × 319,622.40
  4. Step 4: Simplify right side
    381,830.40x = 183,062,323,261.44
  5. Step 5: Solve for x
    x = 183,062,323,261.44/381,830.40
  6. Step 6: Final answer
    x = 479,433.60

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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.