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Finding the Fourth Proportional to 310,651.64, 465,978.06 and 86,012.72

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Solution

The fourth proportional to 310,651.64, 465,978.06 and 86,012.72 is: 129,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,651.64 : 465,978.06 = 86,012.72 : x
  2. Step 2: Convert to fraction form
    310,651.64/465,978.06 = 86,012.72/x
  3. Step 3: Cross multiply
    310,651.64x = 465,978.06 × 86,012.72
  4. Step 4: Simplify right side
    310,651.64x = 40,080,040,400.92
  5. Step 5: Solve for x
    x = 40,080,040,400.92/310,651.64
  6. Step 6: Final answer
    x = 129,019.25

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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.