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Finding the Fourth Proportional to 225,416.34, 311,071.59 and 128,617.65

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Solution

The fourth proportional to 225,416.34, 311,071.59 and 128,617.65 is: 177,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,416.34 : 311,071.59 = 128,617.65 : x
  2. Step 2: Convert to fraction form
    225,416.34/311,071.59 = 128,617.65/x
  3. Step 3: Cross multiply
    225,416.34x = 311,071.59 × 128,617.65
  4. Step 4: Simplify right side
    225,416.34x = 40,009,296,887.56
  5. Step 5: Solve for x
    x = 40,009,296,887.56/225,416.34
  6. Step 6: Final answer
    x = 177,490.67

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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.