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Finding the Fourth Proportional to 256,295.91, 384,474.66 and 106,637.49

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Solution

The fourth proportional to 256,295.91, 384,474.66 and 106,637.49 is: 159,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,295.91 : 384,474.66 = 106,637.49 : x
  2. Step 2: Convert to fraction form
    256,295.91/384,474.66 = 106,637.49/x
  3. Step 3: Cross multiply
    256,295.91x = 384,474.66 × 106,637.49
  4. Step 4: Simplify right side
    256,295.91x = 40,999,412,711.00
  5. Step 5: Solve for x
    x = 40,999,412,711.00/256,295.91
  6. Step 6: Final answer
    x = 159,969.05

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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.