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Finding the Fourth Proportional to 557,675.36, 769,795.08 and 343,103.12

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Solution

The fourth proportional to 557,675.36, 769,795.08 and 343,103.12 is: 473,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,675.36 : 769,795.08 = 343,103.12 : x
  2. Step 2: Convert to fraction form
    557,675.36/769,795.08 = 343,103.12/x
  3. Step 3: Cross multiply
    557,675.36x = 769,795.08 × 343,103.12
  4. Step 4: Simplify right side
    557,675.36x = 264,119,093,708.65
  5. Step 5: Solve for x
    x = 264,119,093,708.65/557,675.36
  6. Step 6: Final answer
    x = 473,607.25

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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.