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Finding the Fourth Proportional to 405,693.48, 608,549.40 and 125,211

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Solution

The fourth proportional to 405,693.48, 608,549.40 and 125,211 is: 187,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,693.48 : 608,549.40 = 125,211 : x
  2. Step 2: Convert to fraction form
    405,693.48/608,549.40 = 125,211/x
  3. Step 3: Cross multiply
    405,693.48x = 608,549.40 × 125,211
  4. Step 4: Simplify right side
    405,693.48x = 76,197,078,923.40
  5. Step 5: Solve for x
    x = 76,197,078,923.40/405,693.48
  6. Step 6: Final answer
    x = 187,819.33

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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.