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Finding the Fourth Proportional to 509,639.47, 764,463.80 and 154,653.48

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Solution

The fourth proportional to 509,639.47, 764,463.80 and 154,653.48 is: 231,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,639.47 : 764,463.80 = 154,653.48 : x
  2. Step 2: Convert to fraction form
    509,639.47/764,463.80 = 154,653.48/x
  3. Step 3: Cross multiply
    509,639.47x = 764,463.80 × 154,653.48
  4. Step 4: Simplify right side
    509,639.47x = 118,226,987,390.66
  5. Step 5: Solve for x
    x = 118,226,987,390.66/509,639.47
  6. Step 6: Final answer
    x = 231,981.62

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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.