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Finding the Fourth Proportional to 405,877.40, 608,809.71 and 139,640.22

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Solution

The fourth proportional to 405,877.40, 608,809.71 and 139,640.22 is: 209,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,877.40 : 608,809.71 = 139,640.22 : x
  2. Step 2: Convert to fraction form
    405,877.40/608,809.71 = 139,640.22/x
  3. Step 3: Cross multiply
    405,877.40x = 608,809.71 × 139,640.22
  4. Step 4: Simplify right side
    405,877.40x = 85,014,321,842.54
  5. Step 5: Solve for x
    x = 85,014,321,842.54/405,877.40
  6. Step 6: Final answer
    x = 209,458.13

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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.