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Finding the Fourth Proportional to 305,322.45, 421,346.51 and 169,346.94

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Solution

The fourth proportional to 305,322.45, 421,346.51 and 169,346.94 is: 233,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,322.45 : 421,346.51 = 169,346.94 : x
  2. Step 2: Convert to fraction form
    305,322.45/421,346.51 = 169,346.94/x
  3. Step 3: Cross multiply
    305,322.45x = 421,346.51 × 169,346.94
  4. Step 4: Simplify right side
    305,322.45x = 71,353,742,148.18
  5. Step 5: Solve for x
    x = 71,353,742,148.18/305,322.45
  6. Step 6: Final answer
    x = 233,699.63

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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.