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Finding the Fourth Proportional to 328,749, 453,674.16 and 177,846

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Solution

The fourth proportional to 328,749, 453,674.16 and 177,846 is: 245,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,749 : 453,674.16 = 177,846 : x
  2. Step 2: Convert to fraction form
    328,749/453,674.16 = 177,846/x
  3. Step 3: Cross multiply
    328,749x = 453,674.16 × 177,846
  4. Step 4: Simplify right side
    328,749x = 80,684,134,659.36
  5. Step 5: Solve for x
    x = 80,684,134,659.36/328,749
  6. Step 6: Final answer
    x = 245,427.77

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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.