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Finding the Fourth Proportional to 565,645.85, 780,606.67 and 307,540.17

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Solution

The fourth proportional to 565,645.85, 780,606.67 and 307,540.17 is: 424,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,645.85 : 780,606.67 = 307,540.17 : x
  2. Step 2: Convert to fraction form
    565,645.85/780,606.67 = 307,540.17/x
  3. Step 3: Cross multiply
    565,645.85x = 780,606.67 × 307,540.17
  4. Step 4: Simplify right side
    565,645.85x = 240,067,907,994.93
  5. Step 5: Solve for x
    x = 240,067,907,994.93/565,645.85
  6. Step 6: Final answer
    x = 424,413.81

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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.