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Finding the Fourth Proportional to 408,980.81, 613,751.45 and 142,741.32

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Solution

The fourth proportional to 408,980.81, 613,751.45 and 142,741.32 is: 214,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,980.81 : 613,751.45 = 142,741.32 : x
  2. Step 2: Convert to fraction form
    408,980.81/613,751.45 = 142,741.32/x
  3. Step 3: Cross multiply
    408,980.81x = 613,751.45 × 142,741.32
  4. Step 4: Simplify right side
    408,980.81x = 87,607,691,411.21
  5. Step 5: Solve for x
    x = 87,607,691,411.21/408,980.81
  6. Step 6: Final answer
    x = 214,209.79

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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.