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Finding the Fourth Proportional to 509,679.41, 764,521.54 and 154,696.50

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Solution

The fourth proportional to 509,679.41, 764,521.54 and 154,696.50 is: 232,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,679.41 : 764,521.54 = 154,696.50 : x
  2. Step 2: Convert to fraction form
    509,679.41/764,521.54 = 154,696.50/x
  3. Step 3: Cross multiply
    509,679.41x = 764,521.54 × 154,696.50
  4. Step 4: Simplify right side
    509,679.41x = 118,268,806,025.87
  5. Step 5: Solve for x
    x = 118,268,806,025.87/509,679.41
  6. Step 6: Final answer
    x = 232,045.49

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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.