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Finding the Fourth Proportional to 305,546.40, 421,647.68 and 169,572.45

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Solution

The fourth proportional to 305,546.40, 421,647.68 and 169,572.45 is: 234,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,546.40 : 421,647.68 = 169,572.45 : x
  2. Step 2: Convert to fraction form
    305,546.40/421,647.68 = 169,572.45/x
  3. Step 3: Cross multiply
    305,546.40x = 421,647.68 × 169,572.45
  4. Step 4: Simplify right side
    305,546.40x = 71,499,830,134.42
  5. Step 5: Solve for x
    x = 71,499,830,134.42/305,546.40
  6. Step 6: Final answer
    x = 234,006.46

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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.