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Finding the Fourth Proportional to 557,537.27, 769,404.51 and 342,817.61

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Solution

The fourth proportional to 557,537.27, 769,404.51 and 342,817.61 is: 473,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,537.27 : 769,404.51 = 342,817.61 : x
  2. Step 2: Convert to fraction form
    557,537.27/769,404.51 = 342,817.61/x
  3. Step 3: Cross multiply
    557,537.27x = 769,404.51 × 342,817.61
  4. Step 4: Simplify right side
    557,537.27x = 263,765,411,394.40
  5. Step 5: Solve for x
    x = 263,765,411,394.40/557,537.27
  6. Step 6: Final answer
    x = 473,090.19

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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.