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Finding the Fourth Proportional to 280,069.92, 383,404.14 and 278,068.68

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Solution

The fourth proportional to 280,069.92, 383,404.14 and 278,068.68 is: 380,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,069.92 : 383,404.14 = 278,068.68 : x
  2. Step 2: Convert to fraction form
    280,069.92/383,404.14 = 278,068.68/x
  3. Step 3: Cross multiply
    280,069.92x = 383,404.14 × 278,068.68
  4. Step 4: Simplify right side
    280,069.92x = 106,612,683,116.34
  5. Step 5: Solve for x
    x = 106,612,683,116.34/280,069.92
  6. Step 6: Final answer
    x = 380,664.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.