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Finding the Fourth Proportional to 305,141.13, 421,108.10 and 169,166.43

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Solution

The fourth proportional to 305,141.13, 421,108.10 and 169,166.43 is: 233,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,141.13 : 421,108.10 = 169,166.43 : x
  2. Step 2: Convert to fraction form
    305,141.13/421,108.10 = 169,166.43/x
  3. Step 3: Cross multiply
    305,141.13x = 421,108.10 × 169,166.43
  4. Step 4: Simplify right side
    305,141.13x = 71,237,353,075.25
  5. Step 5: Solve for x
    x = 71,237,353,075.25/305,141.13
  6. Step 6: Final answer
    x = 233,457.07

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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.