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Finding the Fourth Proportional to 557,087.28, 768,789.36 and 302,438.25

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Solution

The fourth proportional to 557,087.28, 768,789.36 and 302,438.25 is: 417,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,087.28 : 768,789.36 = 302,438.25 : x
  2. Step 2: Convert to fraction form
    557,087.28/768,789.36 = 302,438.25/x
  3. Step 3: Cross multiply
    557,087.28x = 768,789.36 × 302,438.25
  4. Step 4: Simplify right side
    557,087.28x = 232,511,308,657.02
  5. Step 5: Solve for x
    x = 232,511,308,657.02/557,087.28
  6. Step 6: Final answer
    x = 417,369.62

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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.