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Finding the Fourth Proportional to 511,461.74, 767,413.81 and 274,527.61

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Solution

The fourth proportional to 511,461.74, 767,413.81 and 274,527.61 is: 411,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,461.74 : 767,413.81 = 274,527.61 : x
  2. Step 2: Convert to fraction form
    511,461.74/767,413.81 = 274,527.61/x
  3. Step 3: Cross multiply
    511,461.74x = 767,413.81 × 274,527.61
  4. Step 4: Simplify right side
    511,461.74x = 210,676,276,535.44
  5. Step 5: Solve for x
    x = 210,676,276,535.44/511,461.74
  6. Step 6: Final answer
    x = 411,910.14

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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.