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Finding the Fourth Proportional to 417,658.86, 576,369 and 236,367.50

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Solution

The fourth proportional to 417,658.86, 576,369 and 236,367.50 is: 326,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,658.86 : 576,369 = 236,367.50 : x
  2. Step 2: Convert to fraction form
    417,658.86/576,369 = 236,367.50/x
  3. Step 3: Cross multiply
    417,658.86x = 576,369 × 236,367.50
  4. Step 4: Simplify right side
    417,658.86x = 136,234,899,607.50
  5. Step 5: Solve for x
    x = 136,234,899,607.50/417,658.86
  6. Step 6: Final answer
    x = 326,187.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.