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Finding the Fourth Proportional to 313,231.78, 432,334.02 and 185,980.78

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Solution

The fourth proportional to 313,231.78, 432,334.02 and 185,980.78 is: 256,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,231.78 : 432,334.02 = 185,980.78 : x
  2. Step 2: Convert to fraction form
    313,231.78/432,334.02 = 185,980.78/x
  3. Step 3: Cross multiply
    313,231.78x = 432,334.02 × 185,980.78
  4. Step 4: Simplify right side
    313,231.78x = 80,405,818,260.14
  5. Step 5: Solve for x
    x = 80,405,818,260.14/313,231.78
  6. Step 6: Final answer
    x = 256,697.51

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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.