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Finding the Fourth Proportional to 557,406.74, 769,231.44 and 315,739.49

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Solution

The fourth proportional to 557,406.74, 769,231.44 and 315,739.49 is: 435,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,406.74 : 769,231.44 = 315,739.49 : x
  2. Step 2: Convert to fraction form
    557,406.74/769,231.44 = 315,739.49/x
  3. Step 3: Cross multiply
    557,406.74x = 769,231.44 × 315,739.49
  4. Step 4: Simplify right side
    557,406.74x = 242,876,742,557.57
  5. Step 5: Solve for x
    x = 242,876,742,557.57/557,406.74
  6. Step 6: Final answer
    x = 435,726.24

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