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Finding the Fourth Proportional to 565,645.50, 780,606.19 and 307,539.82

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Solution

The fourth proportional to 565,645.50, 780,606.19 and 307,539.82 is: 424,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,645.50 : 780,606.19 = 307,539.82 : x
  2. Step 2: Convert to fraction form
    565,645.50/780,606.19 = 307,539.82/x
  3. Step 3: Cross multiply
    565,645.50x = 780,606.19 × 307,539.82
  4. Step 4: Simplify right side
    565,645.50x = 240,067,488,523.67
  5. Step 5: Solve for x
    x = 240,067,488,523.67/565,645.50
  6. Step 6: Final answer
    x = 424,413.33

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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.