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Finding the Fourth Proportional to 384,059.70, 576,089.55 and 342,069.30

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Solution

The fourth proportional to 384,059.70, 576,089.55 and 342,069.30 is: 513,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,059.70 : 576,089.55 = 342,069.30 : x
  2. Step 2: Convert to fraction form
    384,059.70/576,089.55 = 342,069.30/x
  3. Step 3: Cross multiply
    384,059.70x = 576,089.55 × 342,069.30
  4. Step 4: Simplify right side
    384,059.70x = 197,062,549,105.82
  5. Step 5: Solve for x
    x = 197,062,549,105.82/384,059.70
  6. Step 6: Final answer
    x = 513,103.95

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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.