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Finding the Fourth Proportional to 382,418.40, 573,627.60 and 205,271.40

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Solution

The fourth proportional to 382,418.40, 573,627.60 and 205,271.40 is: 307,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,418.40 : 573,627.60 = 205,271.40 : x
  2. Step 2: Convert to fraction form
    382,418.40/573,627.60 = 205,271.40/x
  3. Step 3: Cross multiply
    382,418.40x = 573,627.60 × 205,271.40
  4. Step 4: Simplify right side
    382,418.40x = 117,749,340,530.64
  5. Step 5: Solve for x
    x = 117,749,340,530.64/382,418.40
  6. Step 6: Final answer
    x = 307,907.10

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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.