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Finding the Fourth Proportional to 405,964.20, 609,032.70 and 125,509.80

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Solution

The fourth proportional to 405,964.20, 609,032.70 and 125,509.80 is: 188,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,964.20 : 609,032.70 = 125,509.80 : x
  2. Step 2: Convert to fraction form
    405,964.20/609,032.70 = 125,509.80/x
  3. Step 3: Cross multiply
    405,964.20x = 609,032.70 × 125,509.80
  4. Step 4: Simplify right side
    405,964.20x = 76,439,572,370.46
  5. Step 5: Solve for x
    x = 76,439,572,370.46/405,964.20
  6. Step 6: Final answer
    x = 188,291.41

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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.