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Finding the Fourth Proportional to 509,953.40, 764,601.78 and 438,897.68

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Solution

The fourth proportional to 509,953.40, 764,601.78 and 438,897.68 is: 658,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,953.40 : 764,601.78 = 438,897.68 : x
  2. Step 2: Convert to fraction form
    509,953.40/764,601.78 = 438,897.68/x
  3. Step 3: Cross multiply
    509,953.40x = 764,601.78 × 438,897.68
  4. Step 4: Simplify right side
    509,953.40x = 335,581,947,365.87
  5. Step 5: Solve for x
    x = 335,581,947,365.87/509,953.40
  6. Step 6: Final answer
    x = 658,063.95

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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.