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Finding the Fourth Proportional to 358,938.81, 538,274.15 and 119,008.71

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Solution

The fourth proportional to 358,938.81, 538,274.15 and 119,008.71 is: 178,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,938.81 : 538,274.15 = 119,008.71 : x
  2. Step 2: Convert to fraction form
    358,938.81/538,274.15 = 119,008.71/x
  3. Step 3: Cross multiply
    358,938.81x = 538,274.15 × 119,008.71
  4. Step 4: Simplify right side
    358,938.81x = 64,059,311,622.80
  5. Step 5: Solve for x
    x = 64,059,311,622.80/358,938.81
  6. Step 6: Final answer
    x = 178,468.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.