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Finding the Fourth Proportional to 570,419.80, 786,932.22 and 343,939.48

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Solution

The fourth proportional to 570,419.80, 786,932.22 and 343,939.48 is: 474,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,419.80 : 786,932.22 = 343,939.48 : x
  2. Step 2: Convert to fraction form
    570,419.80/786,932.22 = 343,939.48/x
  3. Step 3: Cross multiply
    570,419.80x = 786,932.22 × 343,939.48
  4. Step 4: Simplify right side
    570,419.80x = 270,657,058,542.05
  5. Step 5: Solve for x
    x = 270,657,058,542.05/570,419.80
  6. Step 6: Final answer
    x = 474,487.49

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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.