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Finding the Fourth Proportional to 309,285.49, 463,691.58 and 214,242.52

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Solution

The fourth proportional to 309,285.49, 463,691.58 and 214,242.52 is: 321,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,285.49 : 463,691.58 = 214,242.52 : x
  2. Step 2: Convert to fraction form
    309,285.49/463,691.58 = 214,242.52/x
  3. Step 3: Cross multiply
    309,285.49x = 463,691.58 × 214,242.52
  4. Step 4: Simplify right side
    309,285.49x = 99,342,452,601.98
  5. Step 5: Solve for x
    x = 99,342,452,601.98/309,285.49
  6. Step 6: Final answer
    x = 321,199.85

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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.