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Finding the Fourth Proportional to 301,305.72, 415,800.76 and 165,341.96

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Solution

The fourth proportional to 301,305.72, 415,800.76 and 165,341.96 is: 228,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,305.72 : 415,800.76 = 165,341.96 : x
  2. Step 2: Convert to fraction form
    301,305.72/415,800.76 = 165,341.96/x
  3. Step 3: Cross multiply
    301,305.72x = 415,800.76 × 165,341.96
  4. Step 4: Simplify right side
    301,305.72x = 68,749,312,627.89
  5. Step 5: Solve for x
    x = 68,749,312,627.89/301,305.72
  6. Step 6: Final answer
    x = 228,171.28

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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.