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Finding the Fourth Proportional to 295,956.12, 408,421.02 and 161,820.12

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Solution

The fourth proportional to 295,956.12, 408,421.02 and 161,820.12 is: 223,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,956.12 : 408,421.02 = 161,820.12 : x
  2. Step 2: Convert to fraction form
    295,956.12/408,421.02 = 161,820.12/x
  3. Step 3: Cross multiply
    295,956.12x = 408,421.02 × 161,820.12
  4. Step 4: Simplify right side
    295,956.12x = 66,090,738,466.92
  5. Step 5: Solve for x
    x = 66,090,738,466.92/295,956.12
  6. Step 6: Final answer
    x = 223,312.63

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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.