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Finding the Fourth Proportional to 280,048,967.35, 420,073,451.03 and 280,048,967.35

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Solution

The fourth proportional to 280,048,967.35, 420,073,451.03 and 280,048,967.35 is: 420,073,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,048,967.35 : 420,073,451.03 = 280,048,967.35 : x
  2. Step 2: Convert to fraction form
    280,048,967.35/420,073,451.03 = 280,048,967.35/x
  3. Step 3: Cross multiply
    280,048,967.35x = 420,073,451.03 × 280,048,967.35
  4. Step 4: Simplify right side
    280,048,967.35x = 117,641,136,170,702,048
  5. Step 5: Solve for x
    x = 117,641,136,170,702,048/280,048,967.35
  6. Step 6: Final answer
    x = 420,073,451.03

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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.