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Finding the Fourth Proportional to 305,247.83, 421,263.45 and 169,294.73

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Solution

The fourth proportional to 305,247.83, 421,263.45 and 169,294.73 is: 233,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,247.83 : 421,263.45 = 169,294.73 : x
  2. Step 2: Convert to fraction form
    305,247.83/421,263.45 = 169,294.73/x
  3. Step 3: Cross multiply
    305,247.83x = 421,263.45 × 169,294.73
  4. Step 4: Simplify right side
    305,247.83x = 71,317,679,920.30
  5. Step 5: Solve for x
    x = 71,317,679,920.30/305,247.83
  6. Step 6: Final answer
    x = 233,638.62

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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.