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Finding the Fourth Proportional to 313,740.78, 432,961.08 and 177,800.64

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Solution

The fourth proportional to 313,740.78, 432,961.08 and 177,800.64 is: 245,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,740.78 : 432,961.08 = 177,800.64 : x
  2. Step 2: Convert to fraction form
    313,740.78/432,961.08 = 177,800.64/x
  3. Step 3: Cross multiply
    313,740.78x = 432,961.08 × 177,800.64
  4. Step 4: Simplify right side
    313,740.78x = 76,980,757,119.09
  5. Step 5: Solve for x
    x = 76,980,757,119.09/313,740.78
  6. Step 6: Final answer
    x = 245,364.21

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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.