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Finding the Fourth Proportional to 538,296, 742,812.80 and 323,308.16

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Solution

The fourth proportional to 538,296, 742,812.80 and 323,308.16 is: 446,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,296 : 742,812.80 = 323,308.16 : x
  2. Step 2: Convert to fraction form
    538,296/742,812.80 = 323,308.16/x
  3. Step 3: Cross multiply
    538,296x = 742,812.80 × 323,308.16
  4. Step 4: Simplify right side
    538,296x = 240,157,439,592.45
  5. Step 5: Solve for x
    x = 240,157,439,592.45/538,296
  6. Step 6: Final answer
    x = 446,143.83

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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.