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Finding the Fourth Proportional to 699,472.64, 965,347 and 427,699.82

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Solution

The fourth proportional to 699,472.64, 965,347 and 427,699.82 is: 590,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,472.64 : 965,347 = 427,699.82 : x
  2. Step 2: Convert to fraction form
    699,472.64/965,347 = 427,699.82/x
  3. Step 3: Cross multiply
    699,472.64x = 965,347 × 427,699.82
  4. Step 4: Simplify right side
    699,472.64x = 412,878,738,137.54
  5. Step 5: Solve for x
    x = 412,878,738,137.54/699,472.64
  6. Step 6: Final answer
    x = 590,271.46

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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.