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Finding the Fourth Proportional to 557,069.25, 768,764.88 and 302,420.44

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Solution

The fourth proportional to 557,069.25, 768,764.88 and 302,420.44 is: 417,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,069.25 : 768,764.88 = 302,420.44 : x
  2. Step 2: Convert to fraction form
    557,069.25/768,764.88 = 302,420.44/x
  3. Step 3: Cross multiply
    557,069.25x = 768,764.88 × 302,420.44
  4. Step 4: Simplify right side
    557,069.25x = 232,490,213,266.15
  5. Step 5: Solve for x
    x = 232,490,213,266.15/557,069.25
  6. Step 6: Final answer
    x = 417,345.26

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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.