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Finding the Fourth Proportional to 309,388, 464,010.72 and 174,511.12

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Solution

The fourth proportional to 309,388, 464,010.72 and 174,511.12 is: 261,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,388 : 464,010.72 = 174,511.12 : x
  2. Step 2: Convert to fraction form
    309,388/464,010.72 = 174,511.12/x
  3. Step 3: Cross multiply
    309,388x = 464,010.72 × 174,511.12
  4. Step 4: Simplify right side
    309,388x = 80,975,030,439.21
  5. Step 5: Solve for x
    x = 80,975,030,439.21/309,388
  6. Step 6: Final answer
    x = 261,726.47

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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.