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Finding the Fourth Proportional to 280,941, 421,411.91 and 114,729

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Solution

The fourth proportional to 280,941, 421,411.91 and 114,729 is: 172,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,941 : 421,411.91 = 114,729 : x
  2. Step 2: Convert to fraction form
    280,941/421,411.91 = 114,729/x
  3. Step 3: Cross multiply
    280,941x = 421,411.91 × 114,729
  4. Step 4: Simplify right side
    280,941x = 48,348,166,448.75
  5. Step 5: Solve for x
    x = 48,348,166,448.75/280,941
  6. Step 6: Final answer
    x = 172,093.67

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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.