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Finding the Fourth Proportional to 392,777.60, 589,166.40 and 268,361.60

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Solution

The fourth proportional to 392,777.60, 589,166.40 and 268,361.60 is: 402,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,777.60 : 589,166.40 = 268,361.60 : x
  2. Step 2: Convert to fraction form
    392,777.60/589,166.40 = 268,361.60/x
  3. Step 3: Cross multiply
    392,777.60x = 589,166.40 × 268,361.60
  4. Step 4: Simplify right side
    392,777.60x = 158,109,637,770.24
  5. Step 5: Solve for x
    x = 158,109,637,770.24/392,777.60
  6. Step 6: Final answer
    x = 402,542.40

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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.