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Finding the Fourth Proportional to 301,309.12, 415,805.42 and 165,345.34

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Solution

The fourth proportional to 301,309.12, 415,805.42 and 165,345.34 is: 228,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,309.12 : 415,805.42 = 165,345.34 : x
  2. Step 2: Convert to fraction form
    301,309.12/415,805.42 = 165,345.34/x
  3. Step 3: Cross multiply
    301,309.12x = 415,805.42 × 165,345.34
  4. Step 4: Simplify right side
    301,309.12x = 68,751,488,543.74
  5. Step 5: Solve for x
    x = 68,751,488,543.74/301,309.12
  6. Step 6: Final answer
    x = 228,175.93

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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.