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Finding the Fourth Proportional to 405,661.80, 608,435.10 and 139,434.60

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Solution

The fourth proportional to 405,661.80, 608,435.10 and 139,434.60 is: 209,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,661.80 : 608,435.10 = 139,434.60 : x
  2. Step 2: Convert to fraction form
    405,661.80/608,435.10 = 139,434.60/x
  3. Step 3: Cross multiply
    405,661.80x = 608,435.10 × 139,434.60
  4. Step 4: Simplify right side
    405,661.80x = 84,836,904,794.46
  5. Step 5: Solve for x
    x = 84,836,904,794.46/405,661.80
  6. Step 6: Final answer
    x = 209,132.10

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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.