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Finding the Fourth Proportional to 430,658.75, 645,993.59 and 150,176

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Solution

The fourth proportional to 430,658.75, 645,993.59 and 150,176 is: 225,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,658.75 : 645,993.59 = 150,176 : x
  2. Step 2: Convert to fraction form
    430,658.75/645,993.59 = 150,176/x
  3. Step 3: Cross multiply
    430,658.75x = 645,993.59 × 150,176
  4. Step 4: Simplify right side
    430,658.75x = 97,012,733,371.84
  5. Step 5: Solve for x
    x = 97,012,733,371.84/430,658.75
  6. Step 6: Final answer
    x = 225,265.91

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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.