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Finding the Fourth Proportional to 256,228.29, 384,303.02 and 85,453.00

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Solution

The fourth proportional to 256,228.29, 384,303.02 and 85,453.00 is: 128,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,228.29 : 384,303.02 = 85,453.00 : x
  2. Step 2: Convert to fraction form
    256,228.29/384,303.02 = 85,453.00/x
  3. Step 3: Cross multiply
    256,228.29x = 384,303.02 × 85,453.00
  4. Step 4: Simplify right side
    256,228.29x = 32,839,844,046.54
  5. Step 5: Solve for x
    x = 32,839,844,046.54/256,228.29
  6. Step 6: Final answer
    x = 128,166.35

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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.