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Finding the Fourth Proportional to 557,551.67, 769,396.47 and 315,829.35

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Solution

The fourth proportional to 557,551.67, 769,396.47 and 315,829.35 is: 435,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,551.67 : 769,396.47 = 315,829.35 : x
  2. Step 2: Convert to fraction form
    557,551.67/769,396.47 = 315,829.35/x
  3. Step 3: Cross multiply
    557,551.67x = 769,396.47 × 315,829.35
  4. Step 4: Simplify right side
    557,551.67x = 242,997,987,012.39
  5. Step 5: Solve for x
    x = 242,997,987,012.39/557,551.67
  6. Step 6: Final answer
    x = 435,830.44

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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.