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Finding the Fourth Proportional to 312,581.10, 431,361.87 and 169,341.10

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Solution

The fourth proportional to 312,581.10, 431,361.87 and 169,341.10 is: 233,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,581.10 : 431,361.87 = 169,341.10 : x
  2. Step 2: Convert to fraction form
    312,581.10/431,361.87 = 169,341.10/x
  3. Step 3: Cross multiply
    312,581.10x = 431,361.87 × 169,341.10
  4. Step 4: Simplify right side
    312,581.10x = 73,047,293,563.86
  5. Step 5: Solve for x
    x = 73,047,293,563.86/312,581.10
  6. Step 6: Final answer
    x = 233,690.69

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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.