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Finding the Fourth Proportional to 288,028.64, 397,440 and 160,679.60

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Solution

The fourth proportional to 288,028.64, 397,440 and 160,679.60 is: 221,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,028.64 : 397,440 = 160,679.60 : x
  2. Step 2: Convert to fraction form
    288,028.64/397,440 = 160,679.60/x
  3. Step 3: Cross multiply
    288,028.64x = 397,440 × 160,679.60
  4. Step 4: Simplify right side
    288,028.64x = 63,860,500,224
  5. Step 5: Solve for x
    x = 63,860,500,224/288,028.64
  6. Step 6: Final answer
    x = 221,715.80

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1.5x scale

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.