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Finding the Fourth Proportional to 256,254.37, 384,252.51 and 85,415.59

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Solution

The fourth proportional to 256,254.37, 384,252.51 and 85,415.59 is: 128,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,254.37 : 384,252.51 = 85,415.59 : x
  2. Step 2: Convert to fraction form
    256,254.37/384,252.51 = 85,415.59/x
  3. Step 3: Cross multiply
    256,254.37x = 384,252.51 × 85,415.59
  4. Step 4: Simplify right side
    256,254.37x = 32,821,154,850.63
  5. Step 5: Solve for x
    x = 32,821,154,850.63/256,254.37
  6. Step 6: Final answer
    x = 128,080.37

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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.