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Finding the Fourth Proportional to 280,990.47, 421,374.76 and 112,479.39

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Solution

The fourth proportional to 280,990.47, 421,374.76 and 112,479.39 is: 168,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,990.47 : 421,374.76 = 112,479.39 : x
  2. Step 2: Convert to fraction form
    280,990.47/421,374.76 = 112,479.39/x
  3. Step 3: Cross multiply
    280,990.47x = 421,374.76 × 112,479.39
  4. Step 4: Simplify right side
    280,990.47x = 47,395,976,317.69
  5. Step 5: Solve for x
    x = 47,395,976,317.69/280,990.47
  6. Step 6: Final answer
    x = 168,674.67

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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.