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Finding the Fourth Proportional to 538,604.19, 743,273.61 and 296,890.80

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Solution

The fourth proportional to 538,604.19, 743,273.61 and 296,890.80 is: 409,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,604.19 : 743,273.61 = 296,890.80 : x
  2. Step 2: Convert to fraction form
    538,604.19/743,273.61 = 296,890.80/x
  3. Step 3: Cross multiply
    538,604.19x = 743,273.61 × 296,890.80
  4. Step 4: Simplify right side
    538,604.19x = 220,671,097,808.19
  5. Step 5: Solve for x
    x = 220,671,097,808.19/538,604.19
  6. Step 6: Final answer
    x = 409,709.21

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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.