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Finding the Fourth Proportional to 315,169, 434,969.64 and 175,481.66

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Solution

The fourth proportional to 315,169, 434,969.64 and 175,481.66 is: 242,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,169 : 434,969.64 = 175,481.66 : x
  2. Step 2: Convert to fraction form
    315,169/434,969.64 = 175,481.66/x
  3. Step 3: Cross multiply
    315,169x = 434,969.64 × 175,481.66
  4. Step 4: Simplify right side
    315,169x = 76,329,194,476.80
  5. Step 5: Solve for x
    x = 76,329,194,476.80/315,169
  6. Step 6: Final answer
    x = 242,184.97

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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.