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Finding the Fourth Proportional to 504,942.40, 696,734.84 and 300,989.68

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Solution

The fourth proportional to 504,942.40, 696,734.84 and 300,989.68 is: 415,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,942.40 : 696,734.84 = 300,989.68 : x
  2. Step 2: Convert to fraction form
    504,942.40/696,734.84 = 300,989.68/x
  3. Step 3: Cross multiply
    504,942.40x = 696,734.84 × 300,989.68
  4. Step 4: Simplify right side
    504,942.40x = 209,709,996,536.45
  5. Step 5: Solve for x
    x = 209,709,996,536.45/504,942.40
  6. Step 6: Final answer
    x = 415,314.69

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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.