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Finding the Fourth Proportional to 493,411.78, 680,914.38 and 289,452.16

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Solution

The fourth proportional to 493,411.78, 680,914.38 and 289,452.16 is: 399,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,411.78 : 680,914.38 = 289,452.16 : x
  2. Step 2: Convert to fraction form
    493,411.78/680,914.38 = 289,452.16/x
  3. Step 3: Cross multiply
    493,411.78x = 680,914.38 × 289,452.16
  4. Step 4: Simplify right side
    493,411.78x = 197,092,138,066.06
  5. Step 5: Solve for x
    x = 197,092,138,066.06/493,411.78
  6. Step 6: Final answer
    x = 399,447.57

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1.5x scale

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.