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Finding the Fourth Proportional to 407,730.93, 611,548.84 and 108,234.78

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Solution

The fourth proportional to 407,730.93, 611,548.84 and 108,234.78 is: 162,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.93 : 611,548.84 = 108,234.78 : x
  2. Step 2: Convert to fraction form
    407,730.93/611,548.84 = 108,234.78/x
  3. Step 3: Cross multiply
    407,730.93x = 611,548.84 × 108,234.78
  4. Step 4: Simplify right side
    407,730.93x = 66,190,854,156.66
  5. Step 5: Solve for x
    x = 66,190,854,156.66/407,730.93
  6. Step 6: Final answer
    x = 162,339.55

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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.