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Finding the Fourth Proportional to 538,313.60, 806,708.70 and 298,532.97

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Solution

The fourth proportional to 538,313.60, 806,708.70 and 298,532.97 is: 447,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,313.60 : 806,708.70 = 298,532.97 : x
  2. Step 2: Convert to fraction form
    538,313.60/806,708.70 = 298,532.97/x
  3. Step 3: Cross multiply
    538,313.60x = 806,708.70 × 298,532.97
  4. Step 4: Simplify right side
    538,313.60x = 240,829,144,135.84
  5. Step 5: Solve for x
    x = 240,829,144,135.84/538,313.60
  6. Step 6: Final answer
    x = 447,377.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.