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Finding the Fourth Proportional to 355,505.76, 490,628.34 and 202,590.72

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Solution

The fourth proportional to 355,505.76, 490,628.34 and 202,590.72 is: 279,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,505.76 : 490,628.34 = 202,590.72 : x
  2. Step 2: Convert to fraction form
    355,505.76/490,628.34 = 202,590.72/x
  3. Step 3: Cross multiply
    355,505.76x = 490,628.34 × 202,590.72
  4. Step 4: Simplify right side
    355,505.76x = 99,396,748,653.00
  5. Step 5: Solve for x
    x = 99,396,748,653.00/355,505.76
  6. Step 6: Final answer
    x = 279,592.51

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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.