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Finding the Fourth Proportional to 280,513,009.20, 420,769,513.80 and 269,763,466.80

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Solution

The fourth proportional to 280,513,009.20, 420,769,513.80 and 269,763,466.80 is: 404,645,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,513,009.20 : 420,769,513.80 = 269,763,466.80 : x
  2. Step 2: Convert to fraction form
    280,513,009.20/420,769,513.80 = 269,763,466.80/x
  3. Step 3: Cross multiply
    280,513,009.20x = 420,769,513.80 × 269,763,466.80
  4. Step 4: Simplify right side
    280,513,009.20x = 113,508,242,766,438,448
  5. Step 5: Solve for x
    x = 113,508,242,766,438,448/280,513,009.20
  6. Step 6: Final answer
    x = 404,645,200.20

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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.