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Finding the Fourth Proportional to 515,296.89, 711,109.94 and 314,092.89

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Solution

The fourth proportional to 515,296.89, 711,109.94 and 314,092.89 is: 433,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,296.89 : 711,109.94 = 314,092.89 : x
  2. Step 2: Convert to fraction form
    515,296.89/711,109.94 = 314,092.89/x
  3. Step 3: Cross multiply
    515,296.89x = 711,109.94 × 314,092.89
  4. Step 4: Simplify right side
    515,296.89x = 223,354,574,591.86
  5. Step 5: Solve for x
    x = 223,354,574,591.86/515,296.89
  6. Step 6: Final answer
    x = 433,448.33

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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.