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Finding the Fourth Proportional to 515,889.89, 711,929.42 and 286,447.60

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Solution

The fourth proportional to 515,889.89, 711,929.42 and 286,447.60 is: 395,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,889.89 : 711,929.42 = 286,447.60 : x
  2. Step 2: Convert to fraction form
    515,889.89/711,929.42 = 286,447.60/x
  3. Step 3: Cross multiply
    515,889.89x = 711,929.42 × 286,447.60
  4. Step 4: Simplify right side
    515,889.89x = 203,930,474,260.24
  5. Step 5: Solve for x
    x = 203,930,474,260.24/515,889.89
  6. Step 6: Final answer
    x = 395,298.45

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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.