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Finding the Fourth Proportional to 312,903.18, 431,782.78 and 176,949.84

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Solution

The fourth proportional to 312,903.18, 431,782.78 and 176,949.84 is: 244,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,903.18 : 431,782.78 = 176,949.84 : x
  2. Step 2: Convert to fraction form
    312,903.18/431,782.78 = 176,949.84/x
  3. Step 3: Cross multiply
    312,903.18x = 431,782.78 × 176,949.84
  4. Step 4: Simplify right side
    312,903.18x = 76,403,893,835.76
  5. Step 5: Solve for x
    x = 76,403,893,835.76/312,903.18
  6. Step 6: Final answer
    x = 244,177.43

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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.