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Finding the Fourth Proportional to 401,764.82, 602,083.86 and 288,914

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Solution

The fourth proportional to 401,764.82, 602,083.86 and 288,914 is: 432,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,764.82 : 602,083.86 = 288,914 : x
  2. Step 2: Convert to fraction form
    401,764.82/602,083.86 = 288,914/x
  3. Step 3: Cross multiply
    401,764.82x = 602,083.86 × 288,914
  4. Step 4: Simplify right side
    401,764.82x = 173,950,456,328.04
  5. Step 5: Solve for x
    x = 173,950,456,328.04/401,764.82
  6. Step 6: Final answer
    x = 432,965.87

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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.