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Finding the Fourth Proportional to 385,194, 531,641.16 and 258,091.28

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Solution

The fourth proportional to 385,194, 531,641.16 and 258,091.28 is: 356,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,194 : 531,641.16 = 258,091.28 : x
  2. Step 2: Convert to fraction form
    385,194/531,641.16 = 258,091.28/x
  3. Step 3: Cross multiply
    385,194x = 531,641.16 × 258,091.28
  4. Step 4: Simplify right side
    385,194x = 137,211,947,485.09
  5. Step 5: Solve for x
    x = 137,211,947,485.09/385,194
  6. Step 6: Final answer
    x = 356,215.17

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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.