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Finding the Fourth Proportional to 315,409.06, 435,276.75 and 188,081.92

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Solution

The fourth proportional to 315,409.06, 435,276.75 and 188,081.92 is: 259,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,409.06 : 435,276.75 = 188,081.92 : x
  2. Step 2: Convert to fraction form
    315,409.06/435,276.75 = 188,081.92/x
  3. Step 3: Cross multiply
    315,409.06x = 435,276.75 × 188,081.92
  4. Step 4: Simplify right side
    315,409.06x = 81,867,686,871.36
  5. Step 5: Solve for x
    x = 81,867,686,871.36/315,409.06
  6. Step 6: Final answer
    x = 259,560.35

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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.