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Finding the Fourth Proportional to 289,692.10, 434,538.15 and 264,808.90

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Solution

The fourth proportional to 289,692.10, 434,538.15 and 264,808.90 is: 397,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,692.10 : 434,538.15 = 264,808.90 : x
  2. Step 2: Convert to fraction form
    289,692.10/434,538.15 = 264,808.90/x
  3. Step 3: Cross multiply
    289,692.10x = 434,538.15 × 264,808.90
  4. Step 4: Simplify right side
    289,692.10x = 115,069,569,509.54
  5. Step 5: Solve for x
    x = 115,069,569,509.54/289,692.10
  6. Step 6: Final answer
    x = 397,213.35

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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.