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Finding the Fourth Proportional to 256,806.66, 384,661.35 and 208,557.81

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Solution

The fourth proportional to 256,806.66, 384,661.35 and 208,557.81 is: 312,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,806.66 : 384,661.35 = 208,557.81 : x
  2. Step 2: Convert to fraction form
    256,806.66/384,661.35 = 208,557.81/x
  3. Step 3: Cross multiply
    256,806.66x = 384,661.35 × 208,557.81
  4. Step 4: Simplify right side
    256,806.66x = 80,224,128,747.64
  5. Step 5: Solve for x
    x = 80,224,128,747.64/256,806.66
  6. Step 6: Final answer
    x = 312,391.15

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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.