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Finding the Fourth Proportional to 509,530.33, 764,297.31 and 154,547.42

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Solution

The fourth proportional to 509,530.33, 764,297.31 and 154,547.42 is: 231,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,530.33 : 764,297.31 = 154,547.42 : x
  2. Step 2: Convert to fraction form
    509,530.33/764,297.31 = 154,547.42/x
  3. Step 3: Cross multiply
    509,530.33x = 764,297.31 × 154,547.42
  4. Step 4: Simplify right side
    509,530.33x = 118,120,177,373.44
  5. Step 5: Solve for x
    x = 118,120,177,373.44/509,530.33
  6. Step 6: Final answer
    x = 231,821.68

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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.