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Finding the Fourth Proportional to 314,731.45, 434,329.49 and 171,491.45

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Solution

The fourth proportional to 314,731.45, 434,329.49 and 171,491.45 is: 236,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,731.45 : 434,329.49 = 171,491.45 : x
  2. Step 2: Convert to fraction form
    314,731.45/434,329.49 = 171,491.45/x
  3. Step 3: Cross multiply
    314,731.45x = 434,329.49 × 171,491.45
  4. Step 4: Simplify right side
    314,731.45x = 74,483,795,532.41
  5. Step 5: Solve for x
    x = 74,483,795,532.41/314,731.45
  6. Step 6: Final answer
    x = 236,658.26

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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.