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Finding the Fourth Proportional to 430,245.09, 645,661.67 and 149,762.34

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Solution

The fourth proportional to 430,245.09, 645,661.67 and 149,762.34 is: 224,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,245.09 : 645,661.67 = 149,762.34 : x
  2. Step 2: Convert to fraction form
    430,245.09/645,661.67 = 149,762.34/x
  3. Step 3: Cross multiply
    430,245.09x = 645,661.67 × 149,762.34
  4. Step 4: Simplify right side
    430,245.09x = 96,695,801,798.70
  5. Step 5: Solve for x
    x = 96,695,801,798.70/430,245.09
  6. Step 6: Final answer
    x = 224,745.86

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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.