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Finding the Fourth Proportional to 305,442.86, 421,504.67 and 169,473.87

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Solution

The fourth proportional to 305,442.86, 421,504.67 and 169,473.87 is: 233,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,442.86 : 421,504.67 = 169,473.87 : x
  2. Step 2: Convert to fraction form
    305,442.86/421,504.67 = 169,473.87/x
  3. Step 3: Cross multiply
    305,442.86x = 421,504.67 × 169,473.87
  4. Step 4: Simplify right side
    305,442.86x = 71,434,028,071.66
  5. Step 5: Solve for x
    x = 71,434,028,071.66/305,442.86
  6. Step 6: Final answer
    x = 233,870.35

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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.