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Finding the Fourth Proportional to 538,403.68, 743,029.60 and 296,685.84

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Solution

The fourth proportional to 538,403.68, 743,029.60 and 296,685.84 is: 409,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,403.68 : 743,029.60 = 296,685.84 : x
  2. Step 2: Convert to fraction form
    538,403.68/743,029.60 = 296,685.84/x
  3. Step 3: Cross multiply
    538,403.68x = 743,029.60 × 296,685.84
  4. Step 4: Simplify right side
    538,403.68x = 220,446,361,020.86
  5. Step 5: Solve for x
    x = 220,446,361,020.86/538,403.68
  6. Step 6: Final answer
    x = 409,444.38

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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.