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Finding the Fourth Proportional to 396,509.40, 545,800.12 and 342,233.79

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Solution

The fourth proportional to 396,509.40, 545,800.12 and 342,233.79 is: 471,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,509.40 : 545,800.12 = 342,233.79 : x
  2. Step 2: Convert to fraction form
    396,509.40/545,800.12 = 342,233.79/x
  3. Step 3: Cross multiply
    396,509.40x = 545,800.12 × 342,233.79
  4. Step 4: Simplify right side
    396,509.40x = 186,791,242,794.47
  5. Step 5: Solve for x
    x = 186,791,242,794.47/396,509.40
  6. Step 6: Final answer
    x = 471,089.07

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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.