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Finding the Fourth Proportional to 280,300,511.48, 420,450,767.21 and 280,300,511.48

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Solution

The fourth proportional to 280,300,511.48, 420,450,767.21 and 280,300,511.48 is: 420,450,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,300,511.48 : 420,450,767.21 = 280,300,511.48 : x
  2. Step 2: Convert to fraction form
    280,300,511.48/420,450,767.21 = 280,300,511.48/x
  3. Step 3: Cross multiply
    280,300,511.48x = 420,450,767.21 × 280,300,511.48
  4. Step 4: Simplify right side
    280,300,511.48x = 117,852,565,099,719,920
  5. Step 5: Solve for x
    x = 117,852,565,099,719,920/280,300,511.48
  6. Step 6: Final answer
    x = 420,450,767.21

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1.5x scale

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.