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Finding the Fourth Proportional to 314,504.84, 434,012.36 and 178,537.60

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Solution

The fourth proportional to 314,504.84, 434,012.36 and 178,537.60 is: 246,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,504.84 : 434,012.36 = 178,537.60 : x
  2. Step 2: Convert to fraction form
    314,504.84/434,012.36 = 178,537.60/x
  3. Step 3: Cross multiply
    314,504.84x = 434,012.36 × 178,537.60
  4. Step 4: Simplify right side
    314,504.84x = 77,487,525,124.74
  5. Step 5: Solve for x
    x = 77,487,525,124.74/314,504.84
  6. Step 6: Final answer
    x = 246,379.44

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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.