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Finding the Fourth Proportional to 305,331.50, 421,407.90 and 169,409.18

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Solution

The fourth proportional to 305,331.50, 421,407.90 and 169,409.18 is: 233,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,331.50 : 421,407.90 = 169,409.18 : x
  2. Step 2: Convert to fraction form
    305,331.50/421,407.90 = 169,409.18/x
  3. Step 3: Cross multiply
    305,331.50x = 421,407.90 × 169,409.18
  4. Step 4: Simplify right side
    305,331.50x = 71,390,364,677.48
  5. Step 5: Solve for x
    x = 71,390,364,677.48/305,331.50
  6. Step 6: Final answer
    x = 233,812.65

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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.