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Finding the Fourth Proportional to 384,032.20, 576,048.30 and 342,041.80

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Solution

The fourth proportional to 384,032.20, 576,048.30 and 342,041.80 is: 513,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,032.20 : 576,048.30 = 342,041.80 : x
  2. Step 2: Convert to fraction form
    384,032.20/576,048.30 = 342,041.80/x
  3. Step 3: Cross multiply
    384,032.20x = 576,048.30 × 342,041.80
  4. Step 4: Simplify right side
    384,032.20x = 197,032,597,418.94
  5. Step 5: Solve for x
    x = 197,032,597,418.94/384,032.20
  6. Step 6: Final answer
    x = 513,062.70

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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.