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Finding the Fourth Proportional to 515,396, 711,324.24 and 314,308.64

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Solution

The fourth proportional to 515,396, 711,324.24 and 314,308.64 is: 433,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,396 : 711,324.24 = 314,308.64 : x
  2. Step 2: Convert to fraction form
    515,396/711,324.24 = 314,308.64/x
  3. Step 3: Cross multiply
    515,396x = 711,324.24 × 314,308.64
  4. Step 4: Simplify right side
    515,396x = 223,575,354,473.43
  5. Step 5: Solve for x
    x = 223,575,354,473.43/515,396
  6. Step 6: Final answer
    x = 433,793.34

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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.