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Finding the Fourth Proportional to 305,397.67, 421,499.38 and 169,475.28

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Solution

The fourth proportional to 305,397.67, 421,499.38 and 169,475.28 is: 233,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,397.67 : 421,499.38 = 169,475.28 : x
  2. Step 2: Convert to fraction form
    305,397.67/421,499.38 = 169,475.28/x
  3. Step 3: Cross multiply
    305,397.67x = 421,499.38 × 169,475.28
  4. Step 4: Simplify right side
    305,397.67x = 71,433,724,597.95
  5. Step 5: Solve for x
    x = 71,433,724,597.95/305,397.67
  6. Step 6: Final answer
    x = 233,903.96

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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.