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Finding the Fourth Proportional to 285,742.68, 394,326.48 and 164,889.04

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Solution

The fourth proportional to 285,742.68, 394,326.48 and 164,889.04 is: 227,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,742.68 : 394,326.48 = 164,889.04 : x
  2. Step 2: Convert to fraction form
    285,742.68/394,326.48 = 164,889.04/x
  3. Step 3: Cross multiply
    285,742.68x = 394,326.48 × 164,889.04
  4. Step 4: Simplify right side
    285,742.68x = 65,020,114,733.78
  5. Step 5: Solve for x
    x = 65,020,114,733.78/285,742.68
  6. Step 6: Final answer
    x = 227,547.79

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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.