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Finding the Fourth Proportional to 280,962,025.40, 420,876,167.70 and 280,962,025.40

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Solution

The fourth proportional to 280,962,025.40, 420,876,167.70 and 280,962,025.40 is: 420,876,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,962,025.40 : 420,876,167.70 = 280,962,025.40 : x
  2. Step 2: Convert to fraction form
    280,962,025.40/420,876,167.70 = 280,962,025.40/x
  3. Step 3: Cross multiply
    280,962,025.40x = 420,876,167.70 × 280,962,025.40
  4. Step 4: Simplify right side
    280,962,025.40x = 118,250,220,519,582,048
  5. Step 5: Solve for x
    x = 118,250,220,519,582,048/280,962,025.40
  6. Step 6: Final answer
    x = 420,876,167.70

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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.