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Finding the Fourth Proportional to 305,092.42, 420,940.55 and 176,020.70

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Solution

The fourth proportional to 305,092.42, 420,940.55 and 176,020.70 is: 242,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,092.42 : 420,940.55 = 176,020.70 : x
  2. Step 2: Convert to fraction form
    305,092.42/420,940.55 = 176,020.70/x
  3. Step 3: Cross multiply
    305,092.42x = 420,940.55 × 176,020.70
  4. Step 4: Simplify right side
    305,092.42x = 74,094,247,614.62
  5. Step 5: Solve for x
    x = 74,094,247,614.62/305,092.42
  6. Step 6: Final answer
    x = 242,858.37

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1.5x scale

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.