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Finding the Fourth Proportional to 256,454, 353,900 and 143,277.60

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Solution

The fourth proportional to 256,454, 353,900 and 143,277.60 is: 197,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,454 : 353,900 = 143,277.60 : x
  2. Step 2: Convert to fraction form
    256,454/353,900 = 143,277.60/x
  3. Step 3: Cross multiply
    256,454x = 353,900 × 143,277.60
  4. Step 4: Simplify right side
    256,454x = 50,705,942,640
  5. Step 5: Solve for x
    x = 50,705,942,640/256,454
  6. Step 6: Final answer
    x = 197,719.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.