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Finding the Fourth Proportional to 315,192.81, 434,978.21 and 179,239.02

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Solution

The fourth proportional to 315,192.81, 434,978.21 and 179,239.02 is: 247,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,192.81 : 434,978.21 = 179,239.02 : x
  2. Step 2: Convert to fraction form
    315,192.81/434,978.21 = 179,239.02/x
  3. Step 3: Cross multiply
    315,192.81x = 434,978.21 × 179,239.02
  4. Step 4: Simplify right side
    315,192.81x = 77,965,068,081.75
  5. Step 5: Solve for x
    x = 77,965,068,081.75/315,192.81
  6. Step 6: Final answer
    x = 247,356.75

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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.