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Finding the Fourth Proportional to 280,422,079.10, 420,633,118.80 and 280,422,079.10

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Solution

The fourth proportional to 280,422,079.10, 420,633,118.80 and 280,422,079.10 is: 420,633,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422,079.10 : 420,633,118.80 = 280,422,079.10 : x
  2. Step 2: Convert to fraction form
    280,422,079.10/420,633,118.80 = 280,422,079.10/x
  3. Step 3: Cross multiply
    280,422,079.10x = 420,633,118.80 × 280,422,079.10
  4. Step 4: Simplify right side
    280,422,079.10x = 117,954,813,712,213,312
  5. Step 5: Solve for x
    x = 117,954,813,712,213,312/280,422,079.10
  6. Step 6: Final answer
    x = 420,633,118.80

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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.