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Finding the Fourth Proportional to 280,438.34, 420,712.95 and 102,946.88

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Solution

The fourth proportional to 280,438.34, 420,712.95 and 102,946.88 is: 154,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,438.34 : 420,712.95 = 102,946.88 : x
  2. Step 2: Convert to fraction form
    280,438.34/420,712.95 = 102,946.88/x
  3. Step 3: Cross multiply
    280,438.34x = 420,712.95 × 102,946.88
  4. Step 4: Simplify right side
    280,438.34x = 43,311,083,474.53
  5. Step 5: Solve for x
    x = 43,311,083,474.53/280,438.34
  6. Step 6: Final answer
    x = 154,440.67

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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.