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Finding the Fourth Proportional to 301,081.31, 415,492.79 and 165,116.21

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Solution

The fourth proportional to 301,081.31, 415,492.79 and 165,116.21 is: 227,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.31 : 415,492.79 = 165,116.21 : x
  2. Step 2: Convert to fraction form
    301,081.31/415,492.79 = 165,116.21/x
  3. Step 3: Cross multiply
    301,081.31x = 415,492.79 × 165,116.21
  4. Step 4: Simplify right side
    301,081.31x = 68,604,594,767.13
  5. Step 5: Solve for x
    x = 68,604,594,767.13/301,081.31
  6. Step 6: Final answer
    x = 227,860.69

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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.