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Finding the Fourth Proportional to 783,413.02, 1,080,712.02 and 511,640

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Solution

The fourth proportional to 783,413.02, 1,080,712.02 and 511,640 is: 705,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,413.02 : 1,080,712.02 = 511,640 : x
  2. Step 2: Convert to fraction form
    783,413.02/1,080,712.02 = 511,640/x
  3. Step 3: Cross multiply
    783,413.02x = 1,080,712.02 × 511,640
  4. Step 4: Simplify right side
    783,413.02x = 552,935,497,912.80
  5. Step 5: Solve for x
    x = 552,935,497,912.80/783,413.02
  6. Step 6: Final answer
    x = 705,803.30

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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.