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Finding the Fourth Proportional to 361,901.86, 499,349.78 and 208,937.40

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Solution

The fourth proportional to 361,901.86, 499,349.78 and 208,937.40 is: 288,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,901.86 : 499,349.78 = 208,937.40 : x
  2. Step 2: Convert to fraction form
    361,901.86/499,349.78 = 208,937.40/x
  3. Step 3: Cross multiply
    361,901.86x = 499,349.78 × 208,937.40
  4. Step 4: Simplify right side
    361,901.86x = 104,332,844,723.77
  5. Step 5: Solve for x
    x = 104,332,844,723.77/361,901.86
  6. Step 6: Final answer
    x = 288,290.44

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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.