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Finding the Fourth Proportional to 312,697.26, 469,041.28 and 99,478.09

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Solution

The fourth proportional to 312,697.26, 469,041.28 and 99,478.09 is: 149,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,697.26 : 469,041.28 = 99,478.09 : x
  2. Step 2: Convert to fraction form
    312,697.26/469,041.28 = 99,478.09/x
  3. Step 3: Cross multiply
    312,697.26x = 469,041.28 × 99,478.09
  4. Step 4: Simplify right side
    312,697.26x = 46,659,328,954.45
  5. Step 5: Solve for x
    x = 46,659,328,954.45/312,697.26
  6. Step 6: Final answer
    x = 149,215.66

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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.