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Finding the Fourth Proportional to 421,164.30, 631,779.57 and 140,682.54

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Solution

The fourth proportional to 421,164.30, 631,779.57 and 140,682.54 is: 211,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,164.30 : 631,779.57 = 140,682.54 : x
  2. Step 2: Convert to fraction form
    421,164.30/631,779.57 = 140,682.54/x
  3. Step 3: Cross multiply
    421,164.30x = 631,779.57 × 140,682.54
  4. Step 4: Simplify right side
    421,164.30x = 88,880,354,627.71
  5. Step 5: Solve for x
    x = 88,880,354,627.71/421,164.30
  6. Step 6: Final answer
    x = 211,034.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.