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Finding the Fourth Proportional to 301,381.04, 415,918.86 and 180,542

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Solution

The fourth proportional to 301,381.04, 415,918.86 and 180,542 is: 249,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,381.04 : 415,918.86 = 180,542 : x
  2. Step 2: Convert to fraction form
    301,381.04/415,918.86 = 180,542/x
  3. Step 3: Cross multiply
    301,381.04x = 415,918.86 × 180,542
  4. Step 4: Simplify right side
    301,381.04x = 75,090,822,822.12
  5. Step 5: Solve for x
    x = 75,090,822,822.12/301,381.04
  6. Step 6: Final answer
    x = 249,155.76

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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.