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Finding the Fourth Proportional to 538,497.36, 743,134.23 and 296,776.76

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Solution

The fourth proportional to 538,497.36, 743,134.23 and 296,776.76 is: 409,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,497.36 : 743,134.23 = 296,776.76 : x
  2. Step 2: Convert to fraction form
    538,497.36/743,134.23 = 296,776.76/x
  3. Step 3: Cross multiply
    538,497.36x = 743,134.23 × 296,776.76
  4. Step 4: Simplify right side
    538,497.36x = 220,544,965,308.82
  5. Step 5: Solve for x
    x = 220,544,965,308.82/538,497.36
  6. Step 6: Final answer
    x = 409,556.26

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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.