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Finding the Fourth Proportional to 515,855.89, 711,903.35 and 286,413.18

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Solution

The fourth proportional to 515,855.89, 711,903.35 and 286,413.18 is: 395,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,855.89 : 711,903.35 = 286,413.18 : x
  2. Step 2: Convert to fraction form
    515,855.89/711,903.35 = 286,413.18/x
  3. Step 3: Cross multiply
    515,855.89x = 711,903.35 × 286,413.18
  4. Step 4: Simplify right side
    515,855.89x = 203,898,497,334.57
  5. Step 5: Solve for x
    x = 203,898,497,334.57/515,855.89
  6. Step 6: Final answer
    x = 395,262.52

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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.