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Finding the Fourth Proportional to 254,830.40, 382,245.60 and 128,859.20

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Solution

The fourth proportional to 254,830.40, 382,245.60 and 128,859.20 is: 193,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,830.40 : 382,245.60 = 128,859.20 : x
  2. Step 2: Convert to fraction form
    254,830.40/382,245.60 = 128,859.20/x
  3. Step 3: Cross multiply
    254,830.40x = 382,245.60 × 128,859.20
  4. Step 4: Simplify right side
    254,830.40x = 49,255,862,219.52
  5. Step 5: Solve for x
    x = 49,255,862,219.52/254,830.40
  6. Step 6: Final answer
    x = 193,288.80

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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.