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Finding the Fourth Proportional to 407,658.86, 611,596.73 and 141,418.94

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Solution

The fourth proportional to 407,658.86, 611,596.73 and 141,418.94 is: 212,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,658.86 : 611,596.73 = 141,418.94 : x
  2. Step 2: Convert to fraction form
    407,658.86/611,596.73 = 141,418.94/x
  3. Step 3: Cross multiply
    407,658.86x = 611,596.73 × 141,418.94
  4. Step 4: Simplify right side
    407,658.86x = 86,491,357,498.99
  5. Step 5: Solve for x
    x = 86,491,357,498.99/407,658.86
  6. Step 6: Final answer
    x = 212,166.02

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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.