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Finding the Fourth Proportional to 280,345, 420,692.46 and 114,133

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Solution

The fourth proportional to 280,345, 420,692.46 and 114,133 is: 171,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,345 : 420,692.46 = 114,133 : x
  2. Step 2: Convert to fraction form
    280,345/420,692.46 = 114,133/x
  3. Step 3: Cross multiply
    280,345x = 420,692.46 × 114,133
  4. Step 4: Simplify right side
    280,345x = 48,014,892,537.18
  5. Step 5: Solve for x
    x = 48,014,892,537.18/280,345
  6. Step 6: Final answer
    x = 171,270.73

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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.