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Finding the Fourth Proportional to 683,900, 943,782.40 and 382,094

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Solution

The fourth proportional to 683,900, 943,782.40 and 382,094 is: 527,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,900 : 943,782.40 = 382,094 : x
  2. Step 2: Convert to fraction form
    683,900/943,782.40 = 382,094/x
  3. Step 3: Cross multiply
    683,900x = 943,782.40 × 382,094
  4. Step 4: Simplify right side
    683,900x = 360,613,592,345.60
  5. Step 5: Solve for x
    x = 360,613,592,345.60/683,900
  6. Step 6: Final answer
    x = 527,289.94

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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.