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Finding the Fourth Proportional to 509,640.90, 764,465.98 and 154,654.94

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Solution

The fourth proportional to 509,640.90, 764,465.98 and 154,654.94 is: 231,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,640.90 : 764,465.98 = 154,654.94 : x
  2. Step 2: Convert to fraction form
    509,640.90/764,465.98 = 154,654.94/x
  3. Step 3: Cross multiply
    509,640.90x = 764,465.98 × 154,654.94
  4. Step 4: Simplify right side
    509,640.90x = 118,228,440,268.94
  5. Step 5: Solve for x
    x = 118,228,440,268.94/509,640.90
  6. Step 6: Final answer
    x = 231,983.82

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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.