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Finding the Fourth Proportional to 252,196.40, 378,324.84 and 102,404.72

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Solution

The fourth proportional to 252,196.40, 378,324.84 and 102,404.72 is: 153,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,196.40 : 378,324.84 = 102,404.72 : x
  2. Step 2: Convert to fraction form
    252,196.40/378,324.84 = 102,404.72/x
  3. Step 3: Cross multiply
    252,196.40x = 378,324.84 × 102,404.72
  4. Step 4: Simplify right side
    252,196.40x = 38,742,249,309.24
  5. Step 5: Solve for x
    x = 38,742,249,309.24/252,196.40
  6. Step 6: Final answer
    x = 153,619.36

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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.