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Finding the Fourth Proportional to 402,191.08, 603,286.45 and 102,671.57

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Solution

The fourth proportional to 402,191.08, 603,286.45 and 102,671.57 is: 154,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,191.08 : 603,286.45 = 102,671.57 : x
  2. Step 2: Convert to fraction form
    402,191.08/603,286.45 = 102,671.57/x
  3. Step 3: Cross multiply
    402,191.08x = 603,286.45 × 102,671.57
  4. Step 4: Simplify right side
    402,191.08x = 61,940,366,981.23
  5. Step 5: Solve for x
    x = 61,940,366,981.23/402,191.08
  6. Step 6: Final answer
    x = 154,007.31

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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.