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Finding the Fourth Proportional to 253,673.52, 380,514 and 120,567.36

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Solution

The fourth proportional to 253,673.52, 380,514 and 120,567.36 is: 180,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,673.52 : 380,514 = 120,567.36 : x
  2. Step 2: Convert to fraction form
    253,673.52/380,514 = 120,567.36/x
  3. Step 3: Cross multiply
    253,673.52x = 380,514 × 120,567.36
  4. Step 4: Simplify right side
    253,673.52x = 45,877,568,423.04
  5. Step 5: Solve for x
    x = 45,877,568,423.04/253,673.52
  6. Step 6: Final answer
    x = 180,852.81

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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.