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Finding the Fourth Proportional to 699,216.42, 964,992.74 and 427,443.42

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Solution

The fourth proportional to 699,216.42, 964,992.74 and 427,443.42 is: 589,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,216.42 : 964,992.74 = 427,443.42 : x
  2. Step 2: Convert to fraction form
    699,216.42/964,992.74 = 427,443.42/x
  3. Step 3: Cross multiply
    699,216.42x = 964,992.74 × 427,443.42
  4. Step 4: Simplify right side
    699,216.42x = 412,479,797,060.77
  5. Step 5: Solve for x
    x = 412,479,797,060.77/699,216.42
  6. Step 6: Final answer
    x = 589,917.21

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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.