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Finding the Fourth Proportional to 355,574.13, 490,692.25 and 194,429.28

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Solution

The fourth proportional to 355,574.13, 490,692.25 and 194,429.28 is: 268,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,574.13 : 490,692.25 = 194,429.28 : x
  2. Step 2: Convert to fraction form
    355,574.13/490,692.25 = 194,429.28/x
  3. Step 3: Cross multiply
    355,574.13x = 490,692.25 × 194,429.28
  4. Step 4: Simplify right side
    355,574.13x = 95,404,940,869.08
  5. Step 5: Solve for x
    x = 95,404,940,869.08/355,574.13
  6. Step 6: Final answer
    x = 268,312.38

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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.