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Finding the Fourth Proportional to 515,540.18, 711,413.19 and 311,470.47

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Solution

The fourth proportional to 515,540.18, 711,413.19 and 311,470.47 is: 429,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,540.18 : 711,413.19 = 311,470.47 : x
  2. Step 2: Convert to fraction form
    515,540.18/711,413.19 = 311,470.47/x
  3. Step 3: Cross multiply
    515,540.18x = 711,413.19 × 311,470.47
  4. Step 4: Simplify right side
    515,540.18x = 221,584,200,653.50
  5. Step 5: Solve for x
    x = 221,584,200,653.50/515,540.18
  6. Step 6: Final answer
    x = 429,809.76

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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.