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Finding the Fourth Proportional to 621,639.42, 857,991.87 and 406,380.30

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Solution

The fourth proportional to 621,639.42, 857,991.87 and 406,380.30 is: 560,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,639.42 : 857,991.87 = 406,380.30 : x
  2. Step 2: Convert to fraction form
    621,639.42/857,991.87 = 406,380.30/x
  3. Step 3: Cross multiply
    621,639.42x = 857,991.87 × 406,380.30
  4. Step 4: Simplify right side
    621,639.42x = 348,670,993,528.16
  5. Step 5: Solve for x
    x = 348,670,993,528.16/621,639.42
  6. Step 6: Final answer
    x = 560,889.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.