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Finding the Fourth Proportional to 431,707.64, 647,421.32 and 143,441.86

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Solution

The fourth proportional to 431,707.64, 647,421.32 and 143,441.86 is: 215,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,707.64 : 647,421.32 = 143,441.86 : x
  2. Step 2: Convert to fraction form
    431,707.64/647,421.32 = 143,441.86/x
  3. Step 3: Cross multiply
    431,707.64x = 647,421.32 × 143,441.86
  4. Step 4: Simplify right side
    431,707.64x = 92,867,317,084.51
  5. Step 5: Solve for x
    x = 92,867,317,084.51/431,707.64
  6. Step 6: Final answer
    x = 215,116.23

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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.