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Finding the Fourth Proportional to 512,705.04, 769,055.12 and 284,893.36

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Solution

The fourth proportional to 512,705.04, 769,055.12 and 284,893.36 is: 427,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,705.04 : 769,055.12 = 284,893.36 : x
  2. Step 2: Convert to fraction form
    512,705.04/769,055.12 = 284,893.36/x
  3. Step 3: Cross multiply
    512,705.04x = 769,055.12 × 284,893.36
  4. Step 4: Simplify right side
    512,705.04x = 219,098,697,162.00
  5. Step 5: Solve for x
    x = 219,098,697,162.00/512,705.04
  6. Step 6: Final answer
    x = 427,338.68

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Similar ratio
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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.