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Finding the Fourth Proportional to 256,017.36, 384,090.88 and 78,533.44

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Solution

The fourth proportional to 256,017.36, 384,090.88 and 78,533.44 is: 117,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,017.36 : 384,090.88 = 78,533.44 : x
  2. Step 2: Convert to fraction form
    256,017.36/384,090.88 = 78,533.44/x
  3. Step 3: Cross multiply
    256,017.36x = 384,090.88 × 78,533.44
  4. Step 4: Simplify right side
    256,017.36x = 30,163,978,079.03
  5. Step 5: Solve for x
    x = 30,163,978,079.03/256,017.36
  6. Step 6: Final answer
    x = 117,820.05

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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.