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Finding the Fourth Proportional to 355,692.54, 490,871.43 and 204,838.14

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Solution

The fourth proportional to 355,692.54, 490,871.43 and 204,838.14 is: 282,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,692.54 : 490,871.43 = 204,838.14 : x
  2. Step 2: Convert to fraction form
    355,692.54/490,871.43 = 204,838.14/x
  3. Step 3: Cross multiply
    355,692.54x = 490,871.43 × 204,838.14
  4. Step 4: Simplify right side
    355,692.54x = 100,549,190,700.34
  5. Step 5: Solve for x
    x = 100,549,190,700.34/355,692.54
  6. Step 6: Final answer
    x = 282,685.69

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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.