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Finding the Fourth Proportional to 312,865.38, 431,727.65 and 176,880.45

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Solution

The fourth proportional to 312,865.38, 431,727.65 and 176,880.45 is: 244,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,865.38 : 431,727.65 = 176,880.45 : x
  2. Step 2: Convert to fraction form
    312,865.38/431,727.65 = 176,880.45/x
  3. Step 3: Cross multiply
    312,865.38x = 431,727.65 × 176,880.45
  4. Step 4: Simplify right side
    312,865.38x = 76,364,181,009.44
  5. Step 5: Solve for x
    x = 76,364,181,009.44/312,865.38
  6. Step 6: Final answer
    x = 244,080.00

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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.