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Finding the Fourth Proportional to 384,428.70, 576,643.05 and 366,057.90

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Solution

The fourth proportional to 384,428.70, 576,643.05 and 366,057.90 is: 549,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,428.70 : 576,643.05 = 366,057.90 : x
  2. Step 2: Convert to fraction form
    384,428.70/576,643.05 = 366,057.90/x
  3. Step 3: Cross multiply
    384,428.70x = 576,643.05 × 366,057.90
  4. Step 4: Simplify right side
    384,428.70x = 211,084,743,932.60
  5. Step 5: Solve for x
    x = 211,084,743,932.60/384,428.70
  6. Step 6: Final answer
    x = 549,086.85

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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.