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Finding the Fourth Proportional to 511,726.69, 767,261.57 and 212,413.87

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Solution

The fourth proportional to 511,726.69, 767,261.57 and 212,413.87 is: 318,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,726.69 : 767,261.57 = 212,413.87 : x
  2. Step 2: Convert to fraction form
    511,726.69/767,261.57 = 212,413.87/x
  3. Step 3: Cross multiply
    511,726.69x = 767,261.57 × 212,413.87
  4. Step 4: Simplify right side
    511,726.69x = 162,976,999,385.98
  5. Step 5: Solve for x
    x = 162,976,999,385.98/511,726.69
  6. Step 6: Final answer
    x = 318,484.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.