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Finding the Fourth Proportional to 254,777.40, 381,728.70 and 165,985.20

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Solution

The fourth proportional to 254,777.40, 381,728.70 and 165,985.20 is: 248,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,777.40 : 381,728.70 = 165,985.20 : x
  2. Step 2: Convert to fraction form
    254,777.40/381,728.70 = 165,985.20/x
  3. Step 3: Cross multiply
    254,777.40x = 381,728.70 × 165,985.20
  4. Step 4: Simplify right side
    254,777.40x = 63,361,314,615.24
  5. Step 5: Solve for x
    x = 63,361,314,615.24/254,777.40
  6. Step 6: Final answer
    x = 248,692.84

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1.5x scale

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.