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Finding the Fourth Proportional to 313,866.02, 472,506.99 and 285,965.30

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Solution

The fourth proportional to 313,866.02, 472,506.99 and 285,965.30 is: 430,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,866.02 : 472,506.99 = 285,965.30 : x
  2. Step 2: Convert to fraction form
    313,866.02/472,506.99 = 285,965.30/x
  3. Step 3: Cross multiply
    313,866.02x = 472,506.99 × 285,965.30
  4. Step 4: Simplify right side
    313,866.02x = 135,120,603,147.45
  5. Step 5: Solve for x
    x = 135,120,603,147.45/313,866.02
  6. Step 6: Final answer
    x = 430,504.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.