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Finding the Fourth Proportional to 405,957.20, 609,022.20 and 125,502.80

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Solution

The fourth proportional to 405,957.20, 609,022.20 and 125,502.80 is: 188,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,957.20 : 609,022.20 = 125,502.80 : x
  2. Step 2: Convert to fraction form
    405,957.20/609,022.20 = 125,502.80/x
  3. Step 3: Cross multiply
    405,957.20x = 609,022.20 × 125,502.80
  4. Step 4: Simplify right side
    405,957.20x = 76,433,991,362.16
  5. Step 5: Solve for x
    x = 76,433,991,362.16/405,957.20
  6. Step 6: Final answer
    x = 188,280.91

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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.