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Finding the Fourth Proportional to 305,270.94, 421,299.12 and 169,348.74

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Solution

The fourth proportional to 305,270.94, 421,299.12 and 169,348.74 is: 233,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,270.94 : 421,299.12 = 169,348.74 : x
  2. Step 2: Convert to fraction form
    305,270.94/421,299.12 = 169,348.74/x
  3. Step 3: Cross multiply
    305,270.94x = 421,299.12 × 169,348.74
  4. Step 4: Simplify right side
    305,270.94x = 71,346,475,135.11
  5. Step 5: Solve for x
    x = 71,346,475,135.11/305,270.94
  6. Step 6: Final answer
    x = 233,715.25

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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.