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Finding the Fourth Proportional to 361,903.86, 499,352.54 and 208,939.40

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Solution

The fourth proportional to 361,903.86, 499,352.54 and 208,939.40 is: 288,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,903.86 : 499,352.54 = 208,939.40 : x
  2. Step 2: Convert to fraction form
    361,903.86/499,352.54 = 208,939.40/x
  3. Step 3: Cross multiply
    361,903.86x = 499,352.54 × 208,939.40
  4. Step 4: Simplify right side
    361,903.86x = 104,334,420,096.08
  5. Step 5: Solve for x
    x = 104,334,420,096.08/361,903.86
  6. Step 6: Final answer
    x = 288,293.20

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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.