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Finding the Fourth Proportional to 557,647.96, 769,558.87 and 302,999.15

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Solution

The fourth proportional to 557,647.96, 769,558.87 and 302,999.15 is: 418,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,647.96 : 769,558.87 = 302,999.15 : x
  2. Step 2: Convert to fraction form
    557,647.96/769,558.87 = 302,999.15/x
  3. Step 3: Cross multiply
    557,647.96x = 769,558.87 × 302,999.15
  4. Step 4: Simplify right side
    557,647.96x = 233,175,683,484.96
  5. Step 5: Solve for x
    x = 233,175,683,484.96/557,647.96
  6. Step 6: Final answer
    x = 418,141.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.