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Finding the Fourth Proportional to 301,000.22, 415,378.10 and 165,031.94

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Solution

The fourth proportional to 301,000.22, 415,378.10 and 165,031.94 is: 227,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,000.22 : 415,378.10 = 165,031.94 : x
  2. Step 2: Convert to fraction form
    301,000.22/415,378.10 = 165,031.94/x
  3. Step 3: Cross multiply
    301,000.22x = 415,378.10 × 165,031.94
  4. Step 4: Simplify right side
    301,000.22x = 68,550,650,774.46
  5. Step 5: Solve for x
    x = 68,550,650,774.46/301,000.22
  6. Step 6: Final answer
    x = 227,742.86

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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.