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Finding the Fourth Proportional to 384,103.65, 575,663.40 and 341,785.20

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Solution

The fourth proportional to 384,103.65, 575,663.40 and 341,785.20 is: 512,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,103.65 : 575,663.40 = 341,785.20 : x
  2. Step 2: Convert to fraction form
    384,103.65/575,663.40 = 341,785.20/x
  3. Step 3: Cross multiply
    384,103.65x = 575,663.40 × 341,785.20
  4. Step 4: Simplify right side
    384,103.65x = 196,753,230,301.68
  5. Step 5: Solve for x
    x = 196,753,230,301.68/384,103.65
  6. Step 6: Final answer
    x = 512,239.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.