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Finding the Fourth Proportional to 384,030.80, 576,046.20 and 323,205.20

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Solution

The fourth proportional to 384,030.80, 576,046.20 and 323,205.20 is: 484,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.80 : 576,046.20 = 323,205.20 : x
  2. Step 2: Convert to fraction form
    384,030.80/576,046.20 = 323,205.20/x
  3. Step 3: Cross multiply
    384,030.80x = 576,046.20 × 323,205.20
  4. Step 4: Simplify right side
    384,030.80x = 186,181,127,280.24
  5. Step 5: Solve for x
    x = 186,181,127,280.24/384,030.80
  6. Step 6: Final answer
    x = 484,807.80

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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.