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Finding the Fourth Proportional to 413,493.93, 619,659.11 and 328,878.55

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Solution

The fourth proportional to 413,493.93, 619,659.11 and 328,878.55 is: 492,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,493.93 : 619,659.11 = 328,878.55 : x
  2. Step 2: Convert to fraction form
    413,493.93/619,659.11 = 328,878.55/x
  3. Step 3: Cross multiply
    413,493.93x = 619,659.11 × 328,878.55
  4. Step 4: Simplify right side
    413,493.93x = 203,792,592,930.65
  5. Step 5: Solve for x
    x = 203,792,592,930.65/413,493.93
  6. Step 6: Final answer
    x = 492,855.11

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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.