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Finding the Fourth Proportional to 256,002.20, 384,003.30 and 145,410.20

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Solution

The fourth proportional to 256,002.20, 384,003.30 and 145,410.20 is: 218,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002.20 : 384,003.30 = 145,410.20 : x
  2. Step 2: Convert to fraction form
    256,002.20/384,003.30 = 145,410.20/x
  3. Step 3: Cross multiply
    256,002.20x = 384,003.30 × 145,410.20
  4. Step 4: Simplify right side
    256,002.20x = 55,837,996,653.66
  5. Step 5: Solve for x
    x = 55,837,996,653.66/256,002.20
  6. Step 6: Final answer
    x = 218,115.30

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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.