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Finding the Fourth Proportional to 380,815.40, 525,506.86 and 219,722.40

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Solution

The fourth proportional to 380,815.40, 525,506.86 and 219,722.40 is: 303,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,815.40 : 525,506.86 = 219,722.40 : x
  2. Step 2: Convert to fraction form
    380,815.40/525,506.86 = 219,722.40/x
  3. Step 3: Cross multiply
    380,815.40x = 525,506.86 × 219,722.40
  4. Step 4: Simplify right side
    380,815.40x = 115,465,628,495.66
  5. Step 5: Solve for x
    x = 115,465,628,495.66/380,815.40
  6. Step 6: Final answer
    x = 303,206.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.