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Finding the Fourth Proportional to 538,138.50, 742,631.16 and 311,915.22

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Solution

The fourth proportional to 538,138.50, 742,631.16 and 311,915.22 is: 430,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,138.50 : 742,631.16 = 311,915.22 : x
  2. Step 2: Convert to fraction form
    538,138.50/742,631.16 = 311,915.22/x
  3. Step 3: Cross multiply
    538,138.50x = 742,631.16 × 311,915.22
  4. Step 4: Simplify right side
    538,138.50x = 231,637,961,650.26
  5. Step 5: Solve for x
    x = 231,637,961,650.26/538,138.50
  6. Step 6: Final answer
    x = 430,443.02

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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.