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Finding the Fourth Proportional to 557,559.94, 769,448.46 and 315,842.44

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Solution

The fourth proportional to 557,559.94, 769,448.46 and 315,842.44 is: 435,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,559.94 : 769,448.46 = 315,842.44 : x
  2. Step 2: Convert to fraction form
    557,559.94/769,448.46 = 315,842.44/x
  3. Step 3: Cross multiply
    557,559.94x = 769,448.46 × 315,842.44
  4. Step 4: Simplify right side
    557,559.94x = 243,024,479,060.64
  5. Step 5: Solve for x
    x = 243,024,479,060.64/557,559.94
  6. Step 6: Final answer
    x = 435,871.49

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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.