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Finding the Fourth Proportional to 313,739.78, 432,959.70 and 177,799.64

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Solution

The fourth proportional to 313,739.78, 432,959.70 and 177,799.64 is: 245,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,739.78 : 432,959.70 = 177,799.64 : x
  2. Step 2: Convert to fraction form
    313,739.78/432,959.70 = 177,799.64/x
  3. Step 3: Cross multiply
    313,739.78x = 432,959.70 × 177,799.64
  4. Step 4: Simplify right side
    313,739.78x = 76,980,078,794.51
  5. Step 5: Solve for x
    x = 76,980,078,794.51/313,739.78
  6. Step 6: Final answer
    x = 245,362.83

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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.