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Finding the Fourth Proportional to 405,402.36, 608,202.63 and 285,692.82

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Solution

The fourth proportional to 405,402.36, 608,202.63 and 285,692.82 is: 428,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,402.36 : 608,202.63 = 285,692.82 : x
  2. Step 2: Convert to fraction form
    405,402.36/608,202.63 = 285,692.82/x
  3. Step 3: Cross multiply
    405,402.36x = 608,202.63 × 285,692.82
  4. Step 4: Simplify right side
    405,402.36x = 173,759,124,496.12
  5. Step 5: Solve for x
    x = 173,759,124,496.12/405,402.36
  6. Step 6: Final answer
    x = 428,609.06

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1.5x scale

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.