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Finding the Fourth Proportional to 254,103.60, 349,633.08 and 208,614

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Solution

The fourth proportional to 254,103.60, 349,633.08 and 208,614 is: 287,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,103.60 : 349,633.08 = 208,614 : x
  2. Step 2: Convert to fraction form
    254,103.60/349,633.08 = 208,614/x
  3. Step 3: Cross multiply
    254,103.60x = 349,633.08 × 208,614
  4. Step 4: Simplify right side
    254,103.60x = 72,938,355,351.12
  5. Step 5: Solve for x
    x = 72,938,355,351.12/254,103.60
  6. Step 6: Final answer
    x = 287,041.80

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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.