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Finding the Fourth Proportional to 399,564.78, 599,266.08 and 146,758.38

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Solution

The fourth proportional to 399,564.78, 599,266.08 and 146,758.38 is: 220,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,564.78 : 599,266.08 = 146,758.38 : x
  2. Step 2: Convert to fraction form
    399,564.78/599,266.08 = 146,758.38/x
  3. Step 3: Cross multiply
    399,564.78x = 599,266.08 × 146,758.38
  4. Step 4: Simplify right side
    399,564.78x = 87,947,319,089.75
  5. Step 5: Solve for x
    x = 87,947,319,089.75/399,564.78
  6. Step 6: Final answer
    x = 220,107.79

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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.