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Finding the Fourth Proportional to 419,959.72, 628,958.63 and 386,049.21

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Solution

The fourth proportional to 419,959.72, 628,958.63 and 386,049.21 is: 578,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,959.72 : 628,958.63 = 386,049.21 : x
  2. Step 2: Convert to fraction form
    419,959.72/628,958.63 = 386,049.21/x
  3. Step 3: Cross multiply
    419,959.72x = 628,958.63 × 386,049.21
  4. Step 4: Simplify right side
    419,959.72x = 242,808,980,303.94
  5. Step 5: Solve for x
    x = 242,808,980,303.94/419,959.72
  6. Step 6: Final answer
    x = 578,172.07

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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.