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Finding the Fourth Proportional to 361,647.54, 499,075.48 and 208,692.20

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Solution

The fourth proportional to 361,647.54, 499,075.48 and 208,692.20 is: 287,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,647.54 : 499,075.48 = 208,692.20 : x
  2. Step 2: Convert to fraction form
    361,647.54/499,075.48 = 208,692.20/x
  3. Step 3: Cross multiply
    361,647.54x = 499,075.48 × 208,692.20
  4. Step 4: Simplify right side
    361,647.54x = 104,153,159,887.26
  5. Step 5: Solve for x
    x = 104,153,159,887.26/361,647.54
  6. Step 6: Final answer
    x = 287,996.32

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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.