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Finding the Fourth Proportional to 400,457.14, 600,356.43 and 187,119.54

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Solution

The fourth proportional to 400,457.14, 600,356.43 and 187,119.54 is: 280,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,457.14 : 600,356.43 = 187,119.54 : x
  2. Step 2: Convert to fraction form
    400,457.14/600,356.43 = 187,119.54/x
  3. Step 3: Cross multiply
    400,457.14x = 600,356.43 × 187,119.54
  4. Step 4: Simplify right side
    400,457.14x = 112,338,419,017.64
  5. Step 5: Solve for x
    x = 112,338,419,017.64/400,457.14
  6. Step 6: Final answer
    x = 280,525.45

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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.