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Finding the Fourth Proportional to 449,119.94, 674,031.86 and 313,300.58

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Solution

The fourth proportional to 449,119.94, 674,031.86 and 313,300.58 is: 470,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,119.94 : 674,031.86 = 313,300.58 : x
  2. Step 2: Convert to fraction form
    449,119.94/674,031.86 = 313,300.58/x
  3. Step 3: Cross multiply
    449,119.94x = 674,031.86 × 313,300.58
  4. Step 4: Simplify right side
    449,119.94x = 211,174,567,739.82
  5. Step 5: Solve for x
    x = 211,174,567,739.82/449,119.94
  6. Step 6: Final answer
    x = 470,196.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.