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Finding the Fourth Proportional to 570,420.80, 786,933.60 and 343,940.48

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Solution

The fourth proportional to 570,420.80, 786,933.60 and 343,940.48 is: 474,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,420.80 : 786,933.60 = 343,940.48 : x
  2. Step 2: Convert to fraction form
    570,420.80/786,933.60 = 343,940.48/x
  3. Step 3: Cross multiply
    570,420.80x = 786,933.60 × 343,940.48
  4. Step 4: Simplify right side
    570,420.80x = 270,658,320,112.13
  5. Step 5: Solve for x
    x = 270,658,320,112.13/570,420.80
  6. Step 6: Final answer
    x = 474,488.87

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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.