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Finding the Fourth Proportional to 384,665.40, 576,998.10 and 366,294.60

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Solution

The fourth proportional to 384,665.40, 576,998.10 and 366,294.60 is: 549,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,665.40 : 576,998.10 = 366,294.60 : x
  2. Step 2: Convert to fraction form
    384,665.40/576,998.10 = 366,294.60/x
  3. Step 3: Cross multiply
    384,665.40x = 576,998.10 × 366,294.60
  4. Step 4: Simplify right side
    384,665.40x = 211,351,288,240.26
  5. Step 5: Solve for x
    x = 211,351,288,240.26/384,665.40
  6. Step 6: Final answer
    x = 549,441.90

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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.