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Finding the Fourth Proportional to 427,281.44, 640,361.52 and 314,433.44

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Solution

The fourth proportional to 427,281.44, 640,361.52 and 314,433.44 is: 471,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,281.44 : 640,361.52 = 314,433.44 : x
  2. Step 2: Convert to fraction form
    427,281.44/640,361.52 = 314,433.44/x
  3. Step 3: Cross multiply
    427,281.44x = 640,361.52 × 314,433.44
  4. Step 4: Simplify right side
    427,281.44x = 201,351,075,577.23
  5. Step 5: Solve for x
    x = 201,351,075,577.23/427,281.44
  6. Step 6: Final answer
    x = 471,237.59

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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.