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Finding the Fourth Proportional to 421,143.28, 631,780.53 and 252,624.01

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Solution

The fourth proportional to 421,143.28, 631,780.53 and 252,624.01 is: 378,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,143.28 : 631,780.53 = 252,624.01 : x
  2. Step 2: Convert to fraction form
    421,143.28/631,780.53 = 252,624.01/x
  3. Step 3: Cross multiply
    421,143.28x = 631,780.53 × 252,624.01
  4. Step 4: Simplify right side
    421,143.28x = 159,602,930,928.53
  5. Step 5: Solve for x
    x = 159,602,930,928.53/421,143.28
  6. Step 6: Final answer
    x = 378,975.37

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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.