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Finding the Fourth Proportional to 509,951.40, 764,598.78 and 438,895.68

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Solution

The fourth proportional to 509,951.40, 764,598.78 and 438,895.68 is: 658,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,951.40 : 764,598.78 = 438,895.68 : x
  2. Step 2: Convert to fraction form
    509,951.40/764,598.78 = 438,895.68/x
  3. Step 3: Cross multiply
    509,951.40x = 764,598.78 × 438,895.68
  4. Step 4: Simplify right side
    509,951.40x = 335,579,101,475.27
  5. Step 5: Solve for x
    x = 335,579,101,475.27/509,951.40
  6. Step 6: Final answer
    x = 658,060.95

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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.