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Finding the Fourth Proportional to 396,509.90, 545,800.81 and 342,234.29

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Solution

The fourth proportional to 396,509.90, 545,800.81 and 342,234.29 is: 471,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,509.90 : 545,800.81 = 342,234.29 : x
  2. Step 2: Convert to fraction form
    396,509.90/545,800.81 = 342,234.29/x
  3. Step 3: Cross multiply
    396,509.90x = 545,800.81 × 342,234.29
  4. Step 4: Simplify right side
    396,509.90x = 186,791,750,980.60
  5. Step 5: Solve for x
    x = 186,791,750,980.60/396,509.90
  6. Step 6: Final answer
    x = 471,089.75

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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.