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Finding the Fourth Proportional to 256,426.74, 384,332.76 and 119,465.10

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Solution

The fourth proportional to 256,426.74, 384,332.76 and 119,465.10 is: 179,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,426.74 : 384,332.76 = 119,465.10 : x
  2. Step 2: Convert to fraction form
    256,426.74/384,332.76 = 119,465.10/x
  3. Step 3: Cross multiply
    256,426.74x = 384,332.76 × 119,465.10
  4. Step 4: Simplify right side
    256,426.74x = 45,914,351,606.68
  5. Step 5: Solve for x
    x = 45,914,351,606.68/256,426.74
  6. Step 6: Final answer
    x = 179,054.46

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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.