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Finding the Fourth Proportional to 205,412.40, 307,859.40 and 100,004.40

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Solution

The fourth proportional to 205,412.40, 307,859.40 and 100,004.40 is: 149,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.40 : 307,859.40 = 100,004.40 : x
  2. Step 2: Convert to fraction form
    205,412.40/307,859.40 = 100,004.40/x
  3. Step 3: Cross multiply
    205,412.40x = 307,859.40 × 100,004.40
  4. Step 4: Simplify right side
    205,412.40x = 30,787,294,581.36
  5. Step 5: Solve for x
    x = 30,787,294,581.36/205,412.40
  6. Step 6: Final answer
    x = 149,880.41

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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.