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Finding the Fourth Proportional to 538,236.25, 742,800.05 and 296,519.29

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Solution

The fourth proportional to 538,236.25, 742,800.05 and 296,519.29 is: 409,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,236.25 : 742,800.05 = 296,519.29 : x
  2. Step 2: Convert to fraction form
    538,236.25/742,800.05 = 296,519.29/x
  3. Step 3: Cross multiply
    538,236.25x = 742,800.05 × 296,519.29
  4. Step 4: Simplify right side
    538,236.25x = 220,254,543,437.97
  5. Step 5: Solve for x
    x = 220,254,543,437.97/538,236.25
  6. Step 6: Final answer
    x = 409,215.36

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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.