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Finding the Fourth Proportional to 341,690.88, 471,408.48 and 214,320

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Solution

The fourth proportional to 341,690.88, 471,408.48 and 214,320 is: 295,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,690.88 : 471,408.48 = 214,320 : x
  2. Step 2: Convert to fraction form
    341,690.88/471,408.48 = 214,320/x
  3. Step 3: Cross multiply
    341,690.88x = 471,408.48 × 214,320
  4. Step 4: Simplify right side
    341,690.88x = 101,032,265,433.60
  5. Step 5: Solve for x
    x = 101,032,265,433.60/341,690.88
  6. Step 6: Final answer
    x = 295,683.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.