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Finding the Fourth Proportional to 256,284.60, 384,282.91 and 106,424.07

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Solution

The fourth proportional to 256,284.60, 384,282.91 and 106,424.07 is: 159,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,284.60 : 384,282.91 = 106,424.07 : x
  2. Step 2: Convert to fraction form
    256,284.60/384,282.91 = 106,424.07/x
  3. Step 3: Cross multiply
    256,284.60x = 384,282.91 × 106,424.07
  4. Step 4: Simplify right side
    256,284.60x = 40,896,951,313.64
  5. Step 5: Solve for x
    x = 40,896,951,313.64/256,284.60
  6. Step 6: Final answer
    x = 159,576.31

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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.