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Finding the Fourth Proportional to 557,668.41, 769,568.89 and 312,636.93

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Solution

The fourth proportional to 557,668.41, 769,568.89 and 312,636.93 is: 431,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,668.41 : 769,568.89 = 312,636.93 : x
  2. Step 2: Convert to fraction form
    557,668.41/769,568.89 = 312,636.93/x
  3. Step 3: Cross multiply
    557,668.41x = 769,568.89 × 312,636.93
  4. Step 4: Simplify right side
    557,668.41x = 240,595,655,193.11
  5. Step 5: Solve for x
    x = 240,595,655,193.11/557,668.41
  6. Step 6: Final answer
    x = 431,431.39

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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.