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Finding the Fourth Proportional to 509,790.45, 764,636.16 and 154,807.55

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Solution

The fourth proportional to 509,790.45, 764,636.16 and 154,807.55 is: 232,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,790.45 : 764,636.16 = 154,807.55 : x
  2. Step 2: Convert to fraction form
    509,790.45/764,636.16 = 154,807.55/x
  3. Step 3: Cross multiply
    509,790.45x = 764,636.16 × 154,807.55
  4. Step 4: Simplify right side
    509,790.45x = 118,371,446,747.83
  5. Step 5: Solve for x
    x = 118,371,446,747.83/509,790.45
  6. Step 6: Final answer
    x = 232,196.28

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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.