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Finding the Fourth Proportional to 538,099.04, 742,576.64 and 311,875.76

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Solution

The fourth proportional to 538,099.04, 742,576.64 and 311,875.76 is: 430,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,099.04 : 742,576.64 = 311,875.76 : x
  2. Step 2: Convert to fraction form
    538,099.04/742,576.64 = 311,875.76/x
  3. Step 3: Cross multiply
    538,099.04x = 742,576.64 × 311,875.76
  4. Step 4: Simplify right side
    538,099.04x = 231,591,653,958.25
  5. Step 5: Solve for x
    x = 231,591,653,958.25/538,099.04
  6. Step 6: Final answer
    x = 430,388.53

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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.