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Finding the Fourth Proportional to 515,800.48, 711,771.84 and 286,362.31

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Solution

The fourth proportional to 515,800.48, 711,771.84 and 286,362.31 is: 395,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,800.48 : 711,771.84 = 286,362.31 : x
  2. Step 2: Convert to fraction form
    515,800.48/711,771.84 = 286,362.31/x
  3. Step 3: Cross multiply
    515,800.48x = 711,771.84 × 286,362.31
  4. Step 4: Simplify right side
    515,800.48x = 203,824,628,295.35
  5. Step 5: Solve for x
    x = 203,824,628,295.35/515,800.48
  6. Step 6: Final answer
    x = 395,161.77

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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.