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Finding the Fourth Proportional to 313,076.08, 432,084 and 205,734.88

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Solution

The fourth proportional to 313,076.08, 432,084 and 205,734.88 is: 283,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,076.08 : 432,084 = 205,734.88 : x
  2. Step 2: Convert to fraction form
    313,076.08/432,084 = 205,734.88/x
  3. Step 3: Cross multiply
    313,076.08x = 432,084 × 205,734.88
  4. Step 4: Simplify right side
    313,076.08x = 88,894,749,889.92
  5. Step 5: Solve for x
    x = 88,894,749,889.92/313,076.08
  6. Step 6: Final answer
    x = 283,939.77

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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.