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Finding the Fourth Proportional to 538,473.38, 743,089.84 and 293,457.70

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Solution

The fourth proportional to 538,473.38, 743,089.84 and 293,457.70 is: 404,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,473.38 : 743,089.84 = 293,457.70 : x
  2. Step 2: Convert to fraction form
    538,473.38/743,089.84 = 293,457.70/x
  3. Step 3: Cross multiply
    538,473.38x = 743,089.84 × 293,457.70
  4. Step 4: Simplify right side
    538,473.38x = 218,065,435,339.77
  5. Step 5: Solve for x
    x = 218,065,435,339.77/538,473.38
  6. Step 6: Final answer
    x = 404,969.76

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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.