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Finding the Fourth Proportional to 313,104, 432,083.52 and 178,970.88

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Solution

The fourth proportional to 313,104, 432,083.52 and 178,970.88 is: 246,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,104 : 432,083.52 = 178,970.88 : x
  2. Step 2: Convert to fraction form
    313,104/432,083.52 = 178,970.88/x
  3. Step 3: Cross multiply
    313,104x = 432,083.52 × 178,970.88
  4. Step 4: Simplify right side
    313,104x = 77,330,367,807.90
  5. Step 5: Solve for x
    x = 77,330,367,807.90/313,104
  6. Step 6: Final answer
    x = 246,979.81

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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.