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Finding the Fourth Proportional to 355,421.12, 490,492.16 and 194,272.64

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Solution

The fourth proportional to 355,421.12, 490,492.16 and 194,272.64 is: 268,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,421.12 : 490,492.16 = 194,272.64 : x
  2. Step 2: Convert to fraction form
    355,421.12/490,492.16 = 194,272.64/x
  3. Step 3: Cross multiply
    355,421.12x = 490,492.16 × 194,272.64
  4. Step 4: Simplify right side
    355,421.12x = 95,289,206,822.50
  5. Step 5: Solve for x
    x = 95,289,206,822.50/355,421.12
  6. Step 6: Final answer
    x = 268,102.26

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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.