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Finding the Fourth Proportional to 407,616.17, 611,129.00 and 205,336.89

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Solution

The fourth proportional to 407,616.17, 611,129.00 and 205,336.89 is: 307,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,616.17 : 611,129.00 = 205,336.89 : x
  2. Step 2: Convert to fraction form
    407,616.17/611,129.00 = 205,336.89/x
  3. Step 3: Cross multiply
    407,616.17x = 611,129.00 × 205,336.89
  4. Step 4: Simplify right side
    407,616.17x = 125,487,328,762.15
  5. Step 5: Solve for x
    x = 125,487,328,762.15/407,616.17
  6. Step 6: Final answer
    x = 307,856.61

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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.