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Finding the Fourth Proportional to 300,987.55, 415,364.00 and 165,023.58

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Solution

The fourth proportional to 300,987.55, 415,364.00 and 165,023.58 is: 227,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,987.55 : 415,364.00 = 165,023.58 : x
  2. Step 2: Convert to fraction form
    300,987.55/415,364.00 = 165,023.58/x
  3. Step 3: Cross multiply
    300,987.55x = 415,364.00 × 165,023.58
  4. Step 4: Simplify right side
    300,987.55x = 68,544,853,607.45
  5. Step 5: Solve for x
    x = 68,544,853,607.45/300,987.55
  6. Step 6: Final answer
    x = 227,733.19

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1.5x scale

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.