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Finding the Fourth Proportional to 421,349.20, 630,470.72 and 252,971.84

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Solution

The fourth proportional to 421,349.20, 630,470.72 and 252,971.84 is: 378,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,349.20 : 630,470.72 = 252,971.84 : x
  2. Step 2: Convert to fraction form
    421,349.20/630,470.72 = 252,971.84/x
  3. Step 3: Cross multiply
    421,349.20x = 630,470.72 × 252,971.84
  4. Step 4: Simplify right side
    421,349.20x = 159,491,338,104.53
  5. Step 5: Solve for x
    x = 159,491,338,104.53/421,349.20
  6. Step 6: Final answer
    x = 378,525.31

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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.