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Finding the Fourth Proportional to 363,833.10, 545,749.65 and 319,546.35

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Solution

The fourth proportional to 363,833.10, 545,749.65 and 319,546.35 is: 479,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,833.10 : 545,749.65 = 319,546.35 : x
  2. Step 2: Convert to fraction form
    363,833.10/545,749.65 = 319,546.35/x
  3. Step 3: Cross multiply
    363,833.10x = 545,749.65 × 319,546.35
  4. Step 4: Simplify right side
    363,833.10x = 174,392,308,671.28
  5. Step 5: Solve for x
    x = 174,392,308,671.28/363,833.10
  6. Step 6: Final answer
    x = 479,319.53

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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.