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Finding the Fourth Proportional to 315,257.94, 473,005.22 and 188,988.15

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Solution

The fourth proportional to 315,257.94, 473,005.22 and 188,988.15 is: 283,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,257.94 : 473,005.22 = 188,988.15 : x
  2. Step 2: Convert to fraction form
    315,257.94/473,005.22 = 188,988.15/x
  3. Step 3: Cross multiply
    315,257.94x = 473,005.22 × 188,988.15
  4. Step 4: Simplify right side
    315,257.94x = 89,392,382,296.97
  5. Step 5: Solve for x
    x = 89,392,382,296.97/315,257.94
  6. Step 6: Final answer
    x = 283,553.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.