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Finding the Fourth Proportional to 356,514, 534,760.06 and 145,993.38

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Solution

The fourth proportional to 356,514, 534,760.06 and 145,993.38 is: 218,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,514 : 534,760.06 = 145,993.38 : x
  2. Step 2: Convert to fraction form
    356,514/534,760.06 = 145,993.38/x
  3. Step 3: Cross multiply
    356,514x = 534,760.06 × 145,993.38
  4. Step 4: Simplify right side
    356,514x = 78,071,428,648.40
  5. Step 5: Solve for x
    x = 78,071,428,648.40/356,514
  6. Step 6: Final answer
    x = 218,985.59

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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.