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Finding the Fourth Proportional to 413,462.12, 619,362.78 and 188,513.12

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Solution

The fourth proportional to 413,462.12, 619,362.78 and 188,513.12 is: 282,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,462.12 : 619,362.78 = 188,513.12 : x
  2. Step 2: Convert to fraction form
    413,462.12/619,362.78 = 188,513.12/x
  3. Step 3: Cross multiply
    413,462.12x = 619,362.78 × 188,513.12
  4. Step 4: Simplify right side
    413,462.12x = 116,758,006,972.86
  5. Step 5: Solve for x
    x = 116,758,006,972.86/413,462.12
  6. Step 6: Final answer
    x = 282,391.06

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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.