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Finding the Fourth Proportional to 256,366.41, 384,395.66 and 106,425.69

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Solution

The fourth proportional to 256,366.41, 384,395.66 and 106,425.69 is: 159,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,366.41 : 384,395.66 = 106,425.69 : x
  2. Step 2: Convert to fraction form
    256,366.41/384,395.66 = 106,425.69/x
  3. Step 3: Cross multiply
    256,366.41x = 384,395.66 × 106,425.69
  4. Step 4: Simplify right side
    256,366.41x = 40,909,572,816.38
  5. Step 5: Solve for x
    x = 40,909,572,816.38/256,366.41
  6. Step 6: Final answer
    x = 159,574.62

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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.