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Finding the Fourth Proportional to 667,085.51, 920,585.43 and 361,168.58

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Solution

The fourth proportional to 667,085.51, 920,585.43 and 361,168.58 is: 498,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,085.51 : 920,585.43 = 361,168.58 : x
  2. Step 2: Convert to fraction form
    667,085.51/920,585.43 = 361,168.58/x
  3. Step 3: Cross multiply
    667,085.51x = 920,585.43 × 361,168.58
  4. Step 4: Simplify right side
    667,085.51x = 332,486,527,918.86
  5. Step 5: Solve for x
    x = 332,486,527,918.86/667,085.51
  6. Step 6: Final answer
    x = 498,416.66

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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.