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Finding the Fourth Proportional to 201,442,408.40, 302,163,612.60 and 186,136,907.60

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Solution

The fourth proportional to 201,442,408.40, 302,163,612.60 and 186,136,907.60 is: 279,205,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,442,408.40 : 302,163,612.60 = 186,136,907.60 : x
  2. Step 2: Convert to fraction form
    201,442,408.40/302,163,612.60 = 186,136,907.60/x
  3. Step 3: Cross multiply
    201,442,408.40x = 302,163,612.60 × 186,136,907.60
  4. Step 4: Simplify right side
    201,442,408.40x = 56,243,800,438,608,400
  5. Step 5: Solve for x
    x = 56,243,800,438,608,400/201,442,408.40
  6. Step 6: Final answer
    x = 279,205,361.40

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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.