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Finding the Fourth Proportional to 301,309.34, 415,805.76 and 165,345.58

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Solution

The fourth proportional to 301,309.34, 415,805.76 and 165,345.58 is: 228,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,309.34 : 415,805.76 = 165,345.58 : x
  2. Step 2: Convert to fraction form
    301,309.34/415,805.76 = 165,345.58/x
  3. Step 3: Cross multiply
    301,309.34x = 415,805.76 × 165,345.58
  4. Step 4: Simplify right side
    301,309.34x = 68,751,643,515.03
  5. Step 5: Solve for x
    x = 68,751,643,515.03/301,309.34
  6. Step 6: Final answer
    x = 228,176.28

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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.