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Finding the Fourth Proportional to 309,133.78, 463,615 and 109,427.88

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Solution

The fourth proportional to 309,133.78, 463,615 and 109,427.88 is: 164,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,133.78 : 463,615 = 109,427.88 : x
  2. Step 2: Convert to fraction form
    309,133.78/463,615 = 109,427.88/x
  3. Step 3: Cross multiply
    309,133.78x = 463,615 × 109,427.88
  4. Step 4: Simplify right side
    309,133.78x = 50,732,406,586.20
  5. Step 5: Solve for x
    x = 50,732,406,586.20/309,133.78
  6. Step 6: Final answer
    x = 164,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.