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Finding the Fourth Proportional to 316,409.58, 436,191.09 and 225,608.16

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Solution

The fourth proportional to 316,409.58, 436,191.09 and 225,608.16 is: 311,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,409.58 : 436,191.09 = 225,608.16 : x
  2. Step 2: Convert to fraction form
    316,409.58/436,191.09 = 225,608.16/x
  3. Step 3: Cross multiply
    316,409.58x = 436,191.09 × 225,608.16
  4. Step 4: Simplify right side
    316,409.58x = 98,408,269,223.29
  5. Step 5: Solve for x
    x = 98,408,269,223.29/316,409.58
  6. Step 6: Final answer
    x = 311,015.45

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1.5x scale

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.