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Finding the Fourth Proportional to 515,802.48, 711,774.60 and 286,364.31

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Solution

The fourth proportional to 515,802.48, 711,774.60 and 286,364.31 is: 395,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,802.48 : 711,774.60 = 286,364.31 : x
  2. Step 2: Convert to fraction form
    515,802.48/711,774.60 = 286,364.31/x
  3. Step 3: Cross multiply
    515,802.48x = 711,774.60 × 286,364.31
  4. Step 4: Simplify right side
    515,802.48x = 203,826,842,204.53
  5. Step 5: Solve for x
    x = 203,826,842,204.53/515,802.48
  6. Step 6: Final answer
    x = 395,164.53

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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.