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Finding the Fourth Proportional to 421,692.88, 582,290.76 and 301,203.76

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Solution

The fourth proportional to 421,692.88, 582,290.76 and 301,203.76 is: 415,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,692.88 : 582,290.76 = 301,203.76 : x
  2. Step 2: Convert to fraction form
    421,692.88/582,290.76 = 301,203.76/x
  3. Step 3: Cross multiply
    421,692.88x = 582,290.76 × 301,203.76
  4. Step 4: Simplify right side
    421,692.88x = 175,388,166,325.26
  5. Step 5: Solve for x
    x = 175,388,166,325.26/421,692.88
  6. Step 6: Final answer
    x = 415,914.46

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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.