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Finding the Fourth Proportional to 256,072.60, 384,108.90 and 193,864.60

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Solution

The fourth proportional to 256,072.60, 384,108.90 and 193,864.60 is: 290,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,072.60 : 384,108.90 = 193,864.60 : x
  2. Step 2: Convert to fraction form
    256,072.60/384,108.90 = 193,864.60/x
  3. Step 3: Cross multiply
    256,072.60x = 384,108.90 × 193,864.60
  4. Step 4: Simplify right side
    256,072.60x = 74,465,118,254.94
  5. Step 5: Solve for x
    x = 74,465,118,254.94/256,072.60
  6. Step 6: Final answer
    x = 290,796.90

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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.