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Finding the Fourth Proportional to 314,504.70, 434,012.20 and 178,537.46

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Solution

The fourth proportional to 314,504.70, 434,012.20 and 178,537.46 is: 246,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,504.70 : 434,012.20 = 178,537.46 : x
  2. Step 2: Convert to fraction form
    314,504.70/434,012.20 = 178,537.46/x
  3. Step 3: Cross multiply
    314,504.70x = 434,012.20 × 178,537.46
  4. Step 4: Simplify right side
    314,504.70x = 77,487,435,797.01
  5. Step 5: Solve for x
    x = 77,487,435,797.01/314,504.70
  6. Step 6: Final answer
    x = 246,379.26

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1.5x scale

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.