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Finding the Fourth Proportional to 413,012.85, 619,519.31 and 146,783.88

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Solution

The fourth proportional to 413,012.85, 619,519.31 and 146,783.88 is: 220,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,012.85 : 619,519.31 = 146,783.88 : x
  2. Step 2: Convert to fraction form
    413,012.85/619,519.31 = 146,783.88/x
  3. Step 3: Cross multiply
    413,012.85x = 619,519.31 × 146,783.88
  4. Step 4: Simplify right side
    413,012.85x = 90,935,447,322.80
  5. Step 5: Solve for x
    x = 90,935,447,322.80/413,012.85
  6. Step 6: Final answer
    x = 220,175.83

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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.