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Finding the Fourth Proportional to 1,215,203.20, 1,819,305.60 and 742,811.20

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Solution

The fourth proportional to 1,215,203.20, 1,819,305.60 and 742,811.20 is: 1,112,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,203.20 : 1,819,305.60 = 742,811.20 : x
  2. Step 2: Convert to fraction form
    1,215,203.20/1,819,305.60 = 742,811.20/x
  3. Step 3: Cross multiply
    1,215,203.20x = 1,819,305.60 × 742,811.20
  4. Step 4: Simplify right side
    1,215,203.20x = 1,351,400,575,902.72
  5. Step 5: Solve for x
    x = 1,351,400,575,902.72/1,215,203.20
  6. Step 6: Final answer
    x = 1,112,077.86

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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.