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Finding the Fourth Proportional to 515,402.92, 711,291.54 and 289,063

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Solution

The fourth proportional to 515,402.92, 711,291.54 and 289,063 is: 398,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,402.92 : 711,291.54 = 289,063 : x
  2. Step 2: Convert to fraction form
    515,402.92/711,291.54 = 289,063/x
  3. Step 3: Cross multiply
    515,402.92x = 711,291.54 × 289,063
  4. Step 4: Simplify right side
    515,402.92x = 205,608,066,427.02
  5. Step 5: Solve for x
    x = 205,608,066,427.02/515,402.92
  6. Step 6: Final answer
    x = 398,926.86

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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.