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Finding the Fourth Proportional to 699,846.56, 965,945.76 and 457,989

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Solution

The fourth proportional to 699,846.56, 965,945.76 and 457,989 is: 632,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,846.56 : 965,945.76 = 457,989 : x
  2. Step 2: Convert to fraction form
    699,846.56/965,945.76 = 457,989/x
  3. Step 3: Cross multiply
    699,846.56x = 965,945.76 × 457,989
  4. Step 4: Simplify right side
    699,846.56x = 442,392,532,676.64
  5. Step 5: Solve for x
    x = 442,392,532,676.64/699,846.56
  6. Step 6: Final answer
    x = 632,127.89

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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.