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Finding the Fourth Proportional to 509,927.52, 764,978.80 and 154,977.44

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Solution

The fourth proportional to 509,927.52, 764,978.80 and 154,977.44 is: 232,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,927.52 : 764,978.80 = 154,977.44 : x
  2. Step 2: Convert to fraction form
    509,927.52/764,978.80 = 154,977.44/x
  3. Step 3: Cross multiply
    509,927.52x = 764,978.80 × 154,977.44
  4. Step 4: Simplify right side
    509,927.52x = 118,554,456,078.27
  5. Step 5: Solve for x
    x = 118,554,456,078.27/509,927.52
  6. Step 6: Final answer
    x = 232,492.76

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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.