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Finding the Fourth Proportional to 256,295.16, 384,473.52 and 106,636.73

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Solution

The fourth proportional to 256,295.16, 384,473.52 and 106,636.73 is: 159,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,295.16 : 384,473.52 = 106,636.73 : x
  2. Step 2: Convert to fraction form
    256,295.16/384,473.52 = 106,636.73/x
  3. Step 3: Cross multiply
    256,295.16x = 384,473.52 × 106,636.73
  4. Step 4: Simplify right side
    256,295.16x = 40,998,997,022.02
  5. Step 5: Solve for x
    x = 40,998,997,022.02/256,295.16
  6. Step 6: Final answer
    x = 159,967.89

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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.