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Finding the Fourth Proportional to 273,433.88, 410,148.26 and 86,445.40

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Solution

The fourth proportional to 273,433.88, 410,148.26 and 86,445.40 is: 129,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,433.88 : 410,148.26 = 86,445.40 : x
  2. Step 2: Convert to fraction form
    273,433.88/410,148.26 = 86,445.40/x
  3. Step 3: Cross multiply
    273,433.88x = 410,148.26 × 86,445.40
  4. Step 4: Simplify right side
    273,433.88x = 35,455,430,395.00
  5. Step 5: Solve for x
    x = 35,455,430,395.00/273,433.88
  6. Step 6: Final answer
    x = 129,667.29

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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.