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Finding the Fourth Proportional to 430,589.82, 645,950.34 and 220,156.68

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Solution

The fourth proportional to 430,589.82, 645,950.34 and 220,156.68 is: 330,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,589.82 : 645,950.34 = 220,156.68 : x
  2. Step 2: Convert to fraction form
    430,589.82/645,950.34 = 220,156.68/x
  3. Step 3: Cross multiply
    430,589.82x = 645,950.34 × 220,156.68
  4. Step 4: Simplify right side
    430,589.82x = 142,210,282,299.27
  5. Step 5: Solve for x
    x = 142,210,282,299.27/430,589.82
  6. Step 6: Final answer
    x = 330,268.57

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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.