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Finding the Fourth Proportional to 394,085.16, 542,692.06 and 342,378.34

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Solution

The fourth proportional to 394,085.16, 542,692.06 and 342,378.34 is: 471,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,085.16 : 542,692.06 = 342,378.34 : x
  2. Step 2: Convert to fraction form
    394,085.16/542,692.06 = 342,378.34/x
  3. Step 3: Cross multiply
    394,085.16x = 542,692.06 × 342,378.34
  4. Step 4: Simplify right side
    394,085.16x = 185,806,006,633.98
  5. Step 5: Solve for x
    x = 185,806,006,633.98/394,085.16
  6. Step 6: Final answer
    x = 471,486.94

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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.