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Finding the Fourth Proportional to 407,431.29, 610,941.90 and 141,120.30

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Solution

The fourth proportional to 407,431.29, 610,941.90 and 141,120.30 is: 211,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,431.29 : 610,941.90 = 141,120.30 : x
  2. Step 2: Convert to fraction form
    407,431.29/610,941.90 = 141,120.30/x
  3. Step 3: Cross multiply
    407,431.29x = 610,941.90 × 141,120.30
  4. Step 4: Simplify right side
    407,431.29x = 86,216,304,210.57
  5. Step 5: Solve for x
    x = 86,216,304,210.57/407,431.29
  6. Step 6: Final answer
    x = 211,609.43

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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.