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Finding the Fourth Proportional to 318,868, 440,057.80 and 175,628

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Solution

The fourth proportional to 318,868, 440,057.80 and 175,628 is: 242,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,868 : 440,057.80 = 175,628 : x
  2. Step 2: Convert to fraction form
    318,868/440,057.80 = 175,628/x
  3. Step 3: Cross multiply
    318,868x = 440,057.80 × 175,628
  4. Step 4: Simplify right side
    318,868x = 77,286,471,298.40
  5. Step 5: Solve for x
    x = 77,286,471,298.40/318,868
  6. Step 6: Final answer
    x = 242,377.63

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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.