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Finding the Fourth Proportional to 289,692.90, 434,539.35 and 254,672.10

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Solution

The fourth proportional to 289,692.90, 434,539.35 and 254,672.10 is: 382,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,692.90 : 434,539.35 = 254,672.10 : x
  2. Step 2: Convert to fraction form
    289,692.90/434,539.35 = 254,672.10/x
  3. Step 3: Cross multiply
    289,692.90x = 434,539.35 × 254,672.10
  4. Step 4: Simplify right side
    289,692.90x = 110,665,048,797.14
  5. Step 5: Solve for x
    x = 110,665,048,797.14/289,692.90
  6. Step 6: Final answer
    x = 382,008.15

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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.