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Finding the Fourth Proportional to 395,308.85, 545,615.88 and 309,097.31

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Solution

The fourth proportional to 395,308.85, 545,615.88 and 309,097.31 is: 426,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,308.85 : 545,615.88 = 309,097.31 : x
  2. Step 2: Convert to fraction form
    395,308.85/545,615.88 = 309,097.31/x
  3. Step 3: Cross multiply
    395,308.85x = 545,615.88 × 309,097.31
  4. Step 4: Simplify right side
    395,308.85x = 168,648,400,801.28
  5. Step 5: Solve for x
    x = 168,648,400,801.28/395,308.85
  6. Step 6: Final answer
    x = 426,624.40

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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.