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Finding the Fourth Proportional to 842,649.76, 1,162,860.78 and 460,676.56

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Solution

The fourth proportional to 842,649.76, 1,162,860.78 and 460,676.56 is: 635,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,649.76 : 1,162,860.78 = 460,676.56 : x
  2. Step 2: Convert to fraction form
    842,649.76/1,162,860.78 = 460,676.56/x
  3. Step 3: Cross multiply
    842,649.76x = 1,162,860.78 × 460,676.56
  4. Step 4: Simplify right side
    842,649.76x = 535,702,703,889.32
  5. Step 5: Solve for x
    x = 535,702,703,889.32/842,649.76
  6. Step 6: Final answer
    x = 635,735.90

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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.