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Finding the Fourth Proportional to 584,514, 806,629.32 and 316,242

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Solution

The fourth proportional to 584,514, 806,629.32 and 316,242 is: 436,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,514 : 806,629.32 = 316,242 : x
  2. Step 2: Convert to fraction form
    584,514/806,629.32 = 316,242/x
  3. Step 3: Cross multiply
    584,514x = 806,629.32 × 316,242
  4. Step 4: Simplify right side
    584,514x = 255,090,069,415.44
  5. Step 5: Solve for x
    x = 255,090,069,415.44/584,514
  6. Step 6: Final answer
    x = 436,413.96

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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.