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Finding the Fourth Proportional to 305,325.65, 421,346.61 and 169,359.86

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Solution

The fourth proportional to 305,325.65, 421,346.61 and 169,359.86 is: 233,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,325.65 : 421,346.61 = 169,359.86 : x
  2. Step 2: Convert to fraction form
    305,325.65/421,346.61 = 169,359.86/x
  3. Step 3: Cross multiply
    305,325.65x = 421,346.61 × 169,359.86
  4. Step 4: Simplify right side
    305,325.65x = 71,359,203,934.44
  5. Step 5: Solve for x
    x = 71,359,203,934.44/305,325.65
  6. Step 6: Final answer
    x = 233,715.06

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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.