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Finding the Fourth Proportional to 405,809.56, 608,708.17 and 139,572.37

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Solution

The fourth proportional to 405,809.56, 608,708.17 and 139,572.37 is: 209,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,809.56 : 608,708.17 = 139,572.37 : x
  2. Step 2: Convert to fraction form
    405,809.56/608,708.17 = 139,572.37/x
  3. Step 3: Cross multiply
    405,809.56x = 608,708.17 × 139,572.37
  4. Step 4: Simplify right side
    405,809.56x = 84,958,841,925.26
  5. Step 5: Solve for x
    x = 84,958,841,925.26/405,809.56
  6. Step 6: Final answer
    x = 209,356.43

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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.