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Finding the Fourth Proportional to 394,086.16, 542,693.44 and 342,379.34

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Solution

The fourth proportional to 394,086.16, 542,693.44 and 342,379.34 is: 471,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,086.16 : 542,693.44 = 342,379.34 : x
  2. Step 2: Convert to fraction form
    394,086.16/542,693.44 = 342,379.34/x
  3. Step 3: Cross multiply
    394,086.16x = 542,693.44 × 342,379.34
  4. Step 4: Simplify right side
    394,086.16x = 185,807,021,809.53
  5. Step 5: Solve for x
    x = 185,807,021,809.53/394,086.16
  6. Step 6: Final answer
    x = 471,488.32

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1.5x scale

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.