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Finding the Fourth Proportional to 280,320,072.30, 420,480,108.45 and 280,320,072.30

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Solution

The fourth proportional to 280,320,072.30, 420,480,108.45 and 280,320,072.30 is: 420,480,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,320,072.30 : 420,480,108.45 = 280,320,072.30 : x
  2. Step 2: Convert to fraction form
    280,320,072.30/420,480,108.45 = 280,320,072.30/x
  3. Step 3: Cross multiply
    280,320,072.30x = 420,480,108.45 × 280,320,072.30
  4. Step 4: Simplify right side
    280,320,072.30x = 117,869,014,401,415,840
  5. Step 5: Solve for x
    x = 117,869,014,401,415,840/280,320,072.30
  6. Step 6: Final answer
    x = 420,480,108.45

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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.