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Finding the Fourth Proportional to 256,435.46, 353,894.48 and 154,493.01

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Solution

The fourth proportional to 256,435.46, 353,894.48 and 154,493.01 is: 213,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,435.46 : 353,894.48 = 154,493.01 : x
  2. Step 2: Convert to fraction form
    256,435.46/353,894.48 = 154,493.01/x
  3. Step 3: Cross multiply
    256,435.46x = 353,894.48 × 154,493.01
  4. Step 4: Simplify right side
    256,435.46x = 54,674,222,070.06
  5. Step 5: Solve for x
    x = 54,674,222,070.06/256,435.46
  6. Step 6: Final answer
    x = 213,208.51

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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.