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Finding the Fourth Proportional to 708,636.48, 978,006.60 and 406,824

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Solution

The fourth proportional to 708,636.48, 978,006.60 and 406,824 is: 561,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,636.48 : 978,006.60 = 406,824 : x
  2. Step 2: Convert to fraction form
    708,636.48/978,006.60 = 406,824/x
  3. Step 3: Cross multiply
    708,636.48x = 978,006.60 × 406,824
  4. Step 4: Simplify right side
    708,636.48x = 397,876,557,038.40
  5. Step 5: Solve for x
    x = 397,876,557,038.40/708,636.48
  6. Step 6: Final answer
    x = 561,467.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.