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Finding the Fourth Proportional to 345,080.66, 517,456.76 and 120,413.79

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Solution

The fourth proportional to 345,080.66, 517,456.76 and 120,413.79 is: 180,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,080.66 : 517,456.76 = 120,413.79 : x
  2. Step 2: Convert to fraction form
    345,080.66/517,456.76 = 120,413.79/x
  3. Step 3: Cross multiply
    345,080.66x = 517,456.76 × 120,413.79
  4. Step 4: Simplify right side
    345,080.66x = 62,308,929,030.65
  5. Step 5: Solve for x
    x = 62,308,929,030.65/345,080.66
  6. Step 6: Final answer
    x = 180,563.38

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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.