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Finding the Fourth Proportional to 288,614.34, 398,029.94 and 181,194.38

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Solution

The fourth proportional to 288,614.34, 398,029.94 and 181,194.38 is: 249,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,614.34 : 398,029.94 = 181,194.38 : x
  2. Step 2: Convert to fraction form
    288,614.34/398,029.94 = 181,194.38/x
  3. Step 3: Cross multiply
    288,614.34x = 398,029.94 × 181,194.38
  4. Step 4: Simplify right side
    288,614.34x = 72,120,788,199.74
  5. Step 5: Solve for x
    x = 72,120,788,199.74/288,614.34
  6. Step 6: Final answer
    x = 249,886.36

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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.