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Finding the Fourth Proportional to 317,071.28, 475,072.02 and 156,933.68

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Solution

The fourth proportional to 317,071.28, 475,072.02 and 156,933.68 is: 235,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,071.28 : 475,072.02 = 156,933.68 : x
  2. Step 2: Convert to fraction form
    317,071.28/475,072.02 = 156,933.68/x
  3. Step 3: Cross multiply
    317,071.28x = 475,072.02 × 156,933.68
  4. Step 4: Simplify right side
    317,071.28x = 74,554,800,363.63
  5. Step 5: Solve for x
    x = 74,554,800,363.63/317,071.28
  6. Step 6: Final answer
    x = 235,135.77

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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.