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Finding the Fourth Proportional to 254,912.94, 382,420.46 and 142,752.66

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Solution

The fourth proportional to 254,912.94, 382,420.46 and 142,752.66 is: 214,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,912.94 : 382,420.46 = 142,752.66 : x
  2. Step 2: Convert to fraction form
    254,912.94/382,420.46 = 142,752.66/x
  3. Step 3: Cross multiply
    254,912.94x = 382,420.46 × 142,752.66
  4. Step 4: Simplify right side
    254,912.94x = 54,591,537,903.42
  5. Step 5: Solve for x
    x = 54,591,537,903.42/254,912.94
  6. Step 6: Final answer
    x = 214,157.58

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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.