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Finding the Fourth Proportional to 315,712.14, 473,272.96 and 115,978.90

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Solution

The fourth proportional to 315,712.14, 473,272.96 and 115,978.90 is: 173,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,712.14 : 473,272.96 = 115,978.90 : x
  2. Step 2: Convert to fraction form
    315,712.14/473,272.96 = 115,978.90/x
  3. Step 3: Cross multiply
    315,712.14x = 473,272.96 × 115,978.90
  4. Step 4: Simplify right side
    315,712.14x = 54,889,677,300.54
  5. Step 5: Solve for x
    x = 54,889,677,300.54/315,712.14
  6. Step 6: Final answer
    x = 173,859.89

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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.