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Finding the Fourth Proportional to 309,384.58, 464,010.03 and 109,711.48

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Solution

The fourth proportional to 309,384.58, 464,010.03 and 109,711.48 is: 164,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,384.58 : 464,010.03 = 109,711.48 : x
  2. Step 2: Convert to fraction form
    309,384.58/464,010.03 = 109,711.48/x
  3. Step 3: Cross multiply
    309,384.58x = 464,010.03 × 109,711.48
  4. Step 4: Simplify right side
    309,384.58x = 50,907,227,126.14
  5. Step 5: Solve for x
    x = 50,907,227,126.14/309,384.58
  6. Step 6: Final answer
    x = 164,543.52

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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.